Kawauchi Akio 河内明夫

… Alternative Names

Researcher Number	00112524
Other IDs
Affiliation (Current)	2021: 大阪市立大学, 大学院理学研究科, 特任教授
Affiliation (based on the past Project Information) *help	2014 – 2020: 大阪市立大学, 大学院理学研究科, 特任教授 2016: 大阪市立大学, 大学院理学研究科, 教授 2014: 大阪市立大学, 大学院理学研究科, 教授 2013: 大阪市立大学, 数学研究所, 専任研究所員 2013: 大阪市立大学, 理学(系)研究科(研究院), 名誉教授 … More
Review Section/Research Field	Principal Investigator Geometry / Geometry / 代数学・幾何学 Except Principal Investigator Geometry / 代数学・幾何学 / Geometry / 解析学 / Basic analysis / Algebra / Basic analysis / Global analysis / Basic Section 11020:Geometry-related
Keywords	Principal Investigator 結び目 / 結び目理論 / 3次元多様体 / 絡み目 / ヴィッテン不変量 / フロアホモロジー / ヴァッシリーブ不変量 / 空間グラフ / デーン手術 / トポロジー … More Except Principal Investigator 結び目 / トポロジー / 写像類群 / モノドロミー / タイヒミュラー空間 / リーマン面 / 3次元多様体 / カンドル / knot / 正則族 / link / 多様体 / monodromy / グラフィクス / 曲面結び目 / 4次元多様体 / 結び目理論 / finite type invariant / HOMFLY polynomial / 正則写像 / モデュライ空間 / チャート / 2次元結び目 / バイカンドル / ４次元トポロジー / 絡み目 / ジョーンズ多項式 / 仮想結び目 / 特異点論 / 葉層構造 / Vassiliev invariant / ribbon knot / 有限群 / Green対応 / 代数群 / 変換群 / ベクトル束 / 複素多様体 / Vassiliev不変量 / HOMFLY多項式 / Conway多項式 / 群作用 / トーリック多様体 / 同変コホモロジー / 正則2次微分 / 調和写像 / 擬等角写像 / 普遍被覆空間 / Riemann surface / 対称カンドル / ４次元 / バンド手術 / SH(3)移動 / 有限型不変量 / H(2)移動 / 多項式不変量 / モジュライ空間の幾何 / 多様体のトポロジー / 数式処理の応用 / 曲面の写像類群 / Casson不変量 / ホモトピー論 / 力学系 / 特異点 / Knot theory / ゲージ理論 / 曲面束 / Kauffman polynomial / 係数多項式 / 2次元リボン結び目 / クライン群 / Teichmuller space / mapping class group / ホンフリー多項式 / virtual knot / 位相幾何学 / face ring / 2次元ブレイド / ブレイド / 家事労働 / 女子労働 / 家父長制 / 家事サ-ビス / リプロダクション / ニュ-ワ-ク / フェミニズム / 労働力の再生産 / モジュラ-表現 / Steinbeig指標 / Auslander-Reiten系列 / 主直既約指標 / コホモトピ- / ホモトピ- / K理論 / コデグリ- / 代数的群作用 / ブロック / Brauer対応 / 自明なソース / Alperin予想 / 対称群 / モジュラー表現 / 正則分割 / 一般線形群 / ワイル加群 / ヤング図形 / シュアー多元環 / 代数的作用 / ドアティ空間 / 双曲的多様体 / 剛直性定理 / 量子不変量 / 空間グラフ / シンプレクティックトポロジー / 熱核 / グロモフ・ハウスドルフ距離 / スペクトル距離 / リーマン多様体の収束 / リッチ曲率 / 接続計量 / ポテンシャル論 / 複素力学系 / ノット(結び目) / Teichmiiller space / mapping clap group / complex mainfold / universal covering / uniformization / quasi comformal mapping / 位相幾何 / 群 / シンプレクティック幾何 / トーリックトポロジー / レフシェツ・ファイバー束 / 4次元トポロジー / 4次元 / DNA部位特異組み換え / デルタ移動 / ガンマゼロ移動 / 手錠型グラフ / リボントーラス / 補空間の基本群 / ペリフェラル部分群 / H(2)ゴルディアン距離 / DNA絡み目 / リボン・フュージョン数 / 交差交換 / DNA結び目 / 整合的バンド手術 / 仮想弧 / ２次元リボン結び目 / 交差交換距離 / 整合的バンド距離 / 絡み目解消数 / はめ込み曲面絡み目 / マーカー付きグラフ図式 / １ハンドル / 無限群 / 同変単純ホモトピー理論 / 同変S-コボルディズム / 同変Whiteheadのねじれ / G-expansion圏 / almost relative / projective quioer / green correspondence / j.codegree / Sコボルヂィズム / Heegaard分解 / 量子群 / Floerホモロジ- / 衛星結び目 / 衛星結び目(Satellite Knet) / コンパニオン(Companion) / Heegaard種数 / Mathieuの問題 / HassーThompson予想 / 位相的量子場理論 / Verlindeの等式 / DeligneーMumfordのコンパクト化 / キャッソン(Casson)不変量 / Kー2方程式のモノドロミ-表現 / Rー行列 / マスロフ(Maslov)指数 / Knot Theory / 3-Manifold / Mapping Class Group / Casson Invariant / Heegaard Splitting / Floer Homology / Maslov Index / Symplectis Geometry / 葉層構造理論 / 数理物理学 / 接触幾何学 / Homotopy theory / 4 dimensional manifold / Theory of singularity / Foliation / Mathematical physics / Transformation group / Dynamical system / 変換群論 / モジュライ空間 / 3 manifolds / homotopy theory / transformation theory / gauge theory / singularity theory / dynamical systems / foliation / moduli space / ヘガード分解 / 双曲構造 / 錐多様体 / 2橋結び目 / 擬フックス群 / 一点穴開きトーラス / 凝フックス群 / フォード領域 / 標準的分解 / ファイバー結び目 / 離散性判定 / Riley slice / 放物的変換 / コーン多様体 / 穴開きトーラス / Heegaard splitting / hyperbolic structure / cone-manifold / 2-bridge knot / quasi-Fuchsian group / once-punctured forus / ribbon Knot / Vassilier invariant / 2本橋結び目 / C多項式 / アレキサンダー多項式 / ラック / レフシェツ・ファイバー空間 / ブレイド群 / racks / Lefschetz fibration / braid group / タイヒミュラー・モデュラー群 / Riemann sueface / Kleinian group / quasi-conformal mapping / Teichmuller modular group / holomorphic mapping / harmonic mapping / HC移動 / 有限型(Vassiliev)不変量 / タングル / タングル手術 / カウフマン・ブラケット多項式 / Q多項式 / 手錠型空間グラフ / 結び目(knot) / 仮想弧表示 / 禁じ手 / α-2不変量 / デルタ結び目解消操作 / Alexander polynomial / Conway polynomial / ribbon 2-knot / HC-move / finite type (Vassiliev) invariant / tangle / polynomial invariant / 代数的トポロジー / 葉層構造論 / 一般位相 / 3次元多様体論 / 特異点理論 / Algebraic Topology / Topology / Foliations / Mapping Class Groups / General Topology / Three Dimensional Manifolds / Sinqularity Theory / Gauge Theory / 扇 / 凸体 / 組合せ論 / 楕円種数 / 組み合せ論 / トーラス作用 / 同変コホチロジー / toric variety / fan / convex polytope / combinatorics / topology / equivariant cohomology / elliptic genus / Cn変形 / リンクス・グールド多項式 / カウフマン多項式 / 2本ケーブル絡み目 / スケイン関係式 / 2変数アレキサンダー多項式 / 2本組み紐仮想結び目 / 仮想結び目群 / リボントーラス結び目 / 2次元球面結び目 / 交換子部分群 / リンクス-グールド不変量 / 2本橋絡み目 / 両手性 / デルタ変形 / C n変形 / Cn-move / Links-Gould polynomial / 関数体 / ディオファントス問題 / 普遍被覆面 / holomorphic family / function field / Diophantine problem / quandle / biquandle / 2-dimensional knot / 2-dimensional braid / chart / チャート表示 / カスプ / 1助変数族 / 初等的方法 / 歴史的探究 / マルコフ型定理 / チャート表示の変形 / 解け予想 / 初等的手法 / 変形 / 初等的 / 2次元滑らか結び目 / 結び目解け予想 / 安定化 / Topologv / Knot / Braid / Chart description / Cusp / 1-parameter family / Elementary method / Historical search / 多様体の幾何 / 数学と場の理論 / 泰様体のトポロジー / 数学と超弦理論 / Lie群 / Geometry of manifolds / Topology of manifolds / 3-dimensional manifolds / 4-dimensional manifolds / Geometry of the modulispace / Casson's invariant / 低次元多様体 / ジョ-ンズ多項式 / インスタントン / フレア-ホモロジ- / フレア-・ホモロジ- / ホモトピー / シエイプ理論力学系 / シンプレクティック多様体 / Low dimensional topology / Jones polynomials / Instanton / Mapping class groups / Floer homology / ポリマー / DNA Less

グラフィクスとカンドル理論の観点からの4次元トポロジーの研究Ongoing
- Principal Investigator
  
  鎌田聖一
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Osaka University
Research on knot theory and its applicationOngoing
- Principal Investigator
  
  下川航也
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Saitama University
Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- Principal Investigator
  
  KAMADA SEIICHI
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Studies of knot theory and their applicationsPrincipal Investigator
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Study on local moves of knots with application to polymer topology
- Principal Investigator
  
  KANENOBU Taizo
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Applications of knot theory to game and sciencesPrincipal Investigator
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Studies of Knot TheoryPrincipal Investigator
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
- Principal Investigator
  
  KAMADA SEIICHI
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
  Hiroshima University
Study on local moves of knots with application to DNA knots
- Principal Investigator
  
  KANENOBU Taizo
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Overall study of topology
- Principal Investigator
  
  MASUDA Mikiya
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
リーマン面の正則族の大域的構成法の種々の試み
- Principal Investigator
  
  今吉洋一
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Osaka City University
グラフィクスとカンドル理論の観点からの4次元トポロジーの研究
- Principal Investigator
  
  鎌田聖一
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hiroshima University
Smooth unknotting conjecture in dimension four and search for essence of mathematics
- Principal Investigator
  
  MATUMOTO Takao
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hiroshima University
Study on Diophantine problem over function fields and Teichmuller spaces
- Principal Investigator
  
  IMAYOSHI Yoichi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka City University
Developing monodromy descriptions and studying two-dimensional knots and braids by using quandles
- Principal Investigator
  
  KAMADA Seiichi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HIROSHIMA UNIVERSITY
STUDY OF TOPOLOGICAL INVARIANTS FOR KNOTS AND THEIR APPLICATIONS
- Principal Investigator
  
  KANENOBU Taizo
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Classification of 3-manifolds by link correspondence and knot theoryPrincipal Investigator
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
リーマン面の正則族のモノドロミーの大域的研究
- Principal Investigator
  
  今吉洋一
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Osaka City University
Construction of the topological toric theory
- Principal Investigator
  
  MASUDA Mikiya
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Various Aspects of Topology
- Principal Investigator
  
  TSUBOI Takashi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
STUDY ON KNOT INVARIANTS AND ITS APPLICATIONS
- Principal Investigator
  
  KANENOBU Taizo
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Monodromy calculus in low dimensional topology and "racks".
- Principal Investigator
  
  MASUMOTO Yuki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Teichmuller Spaces and Mapping Class Groups
- Principal Investigator
  
  IMAYOSHI Yoichi
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Global analysis
- Research Institution
  Osaka City University
正則2次微分とタイヒミュラー空間
- Principal Investigator
  
  今吉洋一
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  解析学
- Research Institution
  Osaka City University
Knot Theory and Geometry of ManifoldsPrincipal Investigator
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Heegaand spliffings and hyperbolic structures of 3-manifolds
- Principal Investigator
  
  SAKUMA Makoto
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
STUDY ON KNOT INVARIANTS
- Principal Investigator
  
  KANENOBU Taizo
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
低次元多様体と結び目理論Principal Investigator
- Principal Investigator
  
  河内明夫
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka City University
変換群の幾何学
- Principal Investigator
  
  枡田幹也
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
リッチ曲率の幾何学と大域解析学
- Principal Investigator
  
  KASUE Atsushi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
COMPREHENSIVE STUDY OF TOPOLOGY
- Principal Investigator
  
  MORITA Shigeyuki
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  University of Tokyo
3,4次元多様体と結び目理論Principal Investigator
- Principal Investigator
  
  河内明夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka City University
多様体の量子不変量
- Principal Investigator
  
  金信泰造
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
3,4次元多様体と結び目理論の不変量Principal Investigator
- Principal Investigator
  
  河内明夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka City University
代数系の表現の研究
- Principal Investigator
  
  津島行男
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka City University
変換群の幾何学
- Principal Investigator
  
  枡田幹也
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
タイヒミュラー空間とその応用
- Principal Investigator
  
  IMAYOSHI Yoichi
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka City University
General study of topology
- Principal Investigator
  
  NISHIDA Goro
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  Geometry
- Research Institution
  KYOTO UNIVERSITY
3次元多様体と結び目理論Principal Investigator
- Principal Investigator
  
  河内明夫
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka City University
結び目・絡み目と,3・4次元多様体の幾何学Principal Investigator
- Principal Investigator
  
  河内明夫
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka City University
有限群のモジュラー表現の研究
- Principal Investigator
  
  津島行男
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka City University
結び目理論Principal Investigator
- Principal Investigator
  
  河内明夫
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka City University
位相幾何学におけるいくつかのホモトピ-不変量の研究
- Principal Investigator
  
  大嶋秀明
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka City University
Co-operative Research of Topology
- Principal Investigator
  
  KATO Mitsuyoshi
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyushu University
家事労働問題に関する理論的実証的研究
- Principal Investigator
  
  竹中恵美子, 津島行男
- Project Period (FY)
  1989 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka City University
アルチィン環の研究とその応用
- Principal Investigator
  
  原田学
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka City University
Co-operative Research on Topology
- Principal Investigator
  
  MATSUMOTO Yukio
- Project Period (FY)
  1988 – 1989
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Tokyo
3,4次元多様体と結び目の研究
- Principal Investigator
  
  田尾鶉三
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka City University
Geometry of manifolds
- Principal Investigator
  
  MATUMOTO Takao
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  HIROSHIMA UNIVERSITY
3・4次元多様体の研究
- Principal Investigator
  
  松本尭生
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for Co-operative Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hiroshima University
同変単純ホモトピー理論,G-expansion圏とその応用
- Principal Investigator
  
  荒木捷郎
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka City University

[Book] 「結び目の数学教育」への導入ー小学生・中学生・高校生を対象としてー第５号(河内明夫・柳本朋子編）2017
- Author(s)
  河内明夫
- Total Pages
  212
- Publisher
  「結び目の数学教育」研究プロジェクト
- Data Source
  KAKENHI-PROJECT-24244005
[Book] 結び目の理論2015
- Author(s)
  河内明夫
- Total Pages
  231
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-24244005
[Book] 「結び目の数学教育」への導入」－小学生・中学生・高校生を対象として－第4号 (河内明夫・柳本朋子編）2014
- Author(s)
  河内明夫
- Total Pages
  182
- Publisher
  「結び目の数学教育」研究プロジェクト
- Data Source
  KAKENHI-PROJECT-24244005
[Book] 「結び目の数学教育」への導入―小学生・中学生・高校生・大学生を対象として―第4号(河内明夫・柳本朋子編）2014
- Author(s)
  河内明夫
- Total Pages
  182
- Publisher
  「結び目の数学教育」研究プロジェクト
- Data Source
  KAKENHI-PROJECT-24654015
[Book] 結び目理論とゲーム2013
- Author(s)
  河内明夫, 岸本健吾, 清水理佳
- Total Pages
  115
- Publisher
  朝倉書店
- Data Source
  KAKENHI-PROJECT-24654015
[Book] 結び目理論とゲーム2013
- Author(s)
  河内明夫、岸本健吾、清水理佳
- Total Pages
  115
- Publisher
  朝倉書店
- Data Source
  KAKENHI-PROJECT-24244005
[Book] Chapter 7, Mind-Knots and Mind-Relations: Knot Theory Applied to Psychology, in: "Qualitative Mathematics for the Social Sciences, Mathematical Models for Research on Cultural Dynamics"(edited by Lee Rudolph)2012
- Author(s)
  Akio Kawauchi
- Publisher
  Routledge
- Data Source
  KAKENHI-PROJECT-24244005
[Book] Teaching and Learning of Knot Theory in School Mathematics2012
- Author(s)
  Akio Kawauchi (editor)
- Total Pages
  188
- Publisher
  Springer Verlag
- Data Source
  KAKENHI-PROJECT-24654015
[Book] Teaching and Learning of Knot Theory in School Mathematics2012
- Author(s)
  Akio Kawauchi (editor)
- Total Pages
  188
- Publisher
  Springer Verlag
- Data Source
  KAKENHI-PROJECT-24244005
[Book] Chapter 7, Mind-Knots and Mind-Relations: Knot Theory Applied to Psychology, in: "Qualitative Mathematics for the Social Sciences, Mathematical Models for Research on Cultural Dynamics"(edited by Lee Rudolph)2012
- Author(s)
  Akio Kawauchi
- Publisher
  Routledge
- Data Source
  KAKENHI-PROJECT-24654015
[Book] Teaching and Learning of Knot Theory in School Mathematics2011
- Author(s)
  Akio Kawauchi, Tomoko Yanagimoto(共編著)
- Total Pages
  188
- Publisher
  Osaka Municipal Universities Press
- Data Source
  KAKENHI-PROJECT-21244005
[Book] Teaching and Learning of Knot Theory in School Mathematics2011
- Author(s)
  河内明夫・柳本朋子
- Total Pages
  188
- Publisher
  OCAMI Studies
- Data Source
  KAKENHI-PROJECT-21244005
[Book] レクチャー結び目理論(韓国語版)2009
- Author(s)
  河内明夫
- Total Pages
  225
- Publisher
  KyungMoon Publishers
- Data Source
  KAKENHI-PROJECT-21244005
[Book] レクチャー結び目理論2007
- Author(s)
  河内明夫
- Total Pages
  198
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-18654030
[Journal Article] An unknotting index for virtual knots2019
- Author(s)
  Kaur Kirandeep, Kamada Seiichi, Kawauchi Akio ,Madeti Prabhakar
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 42 Pages: 357-370
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01788
[Journal Article] Topology of a 4D universe for every 3-manifold2019
- Author(s)
  Kawauchi Akio
- Journal Title
  
  Topology and its Applications
  
  Volume: 264 Pages: 66-78
- DOI
  10.1016/j.topol.2018.08.017
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19H01788
[Journal Article] Faithful equivalence of equivalent ribbon surface-links2018
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 27
- DOI
  10.1142/s0218216518430034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26287013
[Journal Article] Presentation of immersed surface-links by marked graph diagrams2018
- Author(s)
  Kamada Seiichi、Kawauchi Akio、Kim Jieon、Lee Sang Youl
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 27 Pages: 1850052-1850052
- DOI
  10.1142/s0218216518500529
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03306, KAKENHI-PROJECT-17H06128, KAKENHI-PROJECT-26287013
[Journal Article] Biquandle cohomology and state-sum invariants of links and surface-links2018
- Author(s)
  Kamada Seiichi、Kawauchi Akio、Kim Jieon、Lee Sang Youl
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 27 Pages: 1843016-1843016
- DOI
  10.1142/s0218216518430162
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03306, KAKENHI-PROJECT-17H06128, KAKENHI-PROJECT-26287013
[Journal Article] Polynomial of an oriented surface-link diagram via quantum A_2 invariant2017
- Author(s)
  Joung Yewon、Kamada Seiichi、Kawauchi Akio、Lee Sang Youl
- Journal Title
  
  Topology and its Applications
  
  Volume: 231 Pages: 159-185
- DOI
  10.1016/j.topol.2017.08.030
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287013, KAKENHI-PROJECT-17H06128
[Journal Article] A chord graph constructed from a ribbon surface-link2017
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 689
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs2017
- Author(s)
  Kaur K.、Kamada S.、Kawauchi A.、Prabhakar M.
- Journal Title
  
  Topology and its Applications
  
  Volume: 230 Pages: 586-598
- DOI
  10.1016/j.topol.2017.08.037
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287013, KAKENHI-PROJECT-17H06128
[Journal Article] Supplement to a chord diagram of a ribbon surface-link2017
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 26
- DOI
  10.1142/s021821651750033x
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] A chord graph constructed from a ribbon surface-link2017
- Author(s)
  Kawauchi Akio
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 689 Pages: 125-136
- DOI
  10.1090/conm/689/13841
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26287013
[Journal Article] Knot theory for spatial graphs attached to a surface2016
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 670 Pages: 141-169
- DOI
  10.1090/conm/670/13448
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] On 4-dimensinal universe for every 3-dimensional manifold2015
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Topology and its Applications
  
  Volume: 196 Pages: 575-593
- DOI
  10.1016/j.topol.2015.05.035
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] Tabulation of 3-manifolds of lengths up to 102015
- Author(s)
  Akio Kawauchi, Ikuo Tayama, Benjamin Burton
- Journal Title
  
  Topology and its Applications
  
  Volume: 196 Pages: 937-975
- DOI
  10.1016/j.topol.2015.05.036
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] Characteristic genera of closed orientable 3-manifolds2015
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Kyungpook Math. J.
  
  Volume: 55 Pages: 753-771
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] Quantization of the crossing number of a knot diagram2015
- Author(s)
  Akio Kawauchi, Ayaka Shimizu
- Journal Title
  
  Kyungpook Math. J.
  
  Volume: 55 Pages: 741-752
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] On knotted real projective planes2015
- Author(s)
  Yongju Bae, Seonmi Choi, Akio Kawauchi
- Journal Title
  
  Journal of Knot Theory and Its Ramifications 24 (2015),
  
  Volume: 24
- DOI
  10.1142/s0218216515400118
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] A chord diagram of a ribbon surface-link2015
- Author(s)
  Akio Kawauchi
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 24
- DOI
  10.1142/s0218216515400027
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24244005, KAKENHI-PROJECT-26287013
[Journal Article] Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds2014
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Asia Pacific Journal of Mathematics
  
  Volume: 1 Pages: 86-106
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24654015
[Journal Article] The Alexander polynomials of immersed concordant links2014
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Boletin de la Sociedad Matematica Mexicana
  
  Volume: 20 Pages: 559-578
- DOI
  10.1007/s40590-014-0023-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24244005, KAKENHI-PROJECT-24654015
[Journal Article] Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds2014
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Asia Pacific Journal of Mathematics
  
  Volume: 1 Pages: 86-106
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] トポロジーと数学のいろいろな分野との関連2014
- Author(s)
  河内明夫
- Journal Title
  
  数理科学
  
  Volume: 11 Pages: 7-12
- Data Source
  KAKENHI-PROJECT-24654015
[Journal Article] トポロジーと数学のいろいろな分野との関連2014
- Author(s)
  河内明夫
- Journal Title
  
  数理科学
  
  Volume: 11 Pages: 7-12
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] Splitting a 4-manifold with infinite cyclic fundamental group, revised in a definite case2014
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 23
- DOI
  10.1142/s0218216514500291
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24244005, KAKENHI-PROJECT-24654015
[Journal Article] Splitting a 4-manifold with infinite cyclic fundamental group, revised2013
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 22
- DOI
  10.1142/s0218216513500818
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24244005, KAKENHI-PROJECT-24654015
[Journal Article] 結び目理論の科学への応用－プリオン分子モデルとこころのモデルを中心として (韓国語版)2013
- Author(s)
  河内明夫
- Journal Title
  
  News letter of the Korean Mathematical Society
  
  Volume: 148 Pages: 10-20
- Data Source
  KAKENHI-PROJECT-24654015
[Journal Article] 結び目理論の科学への応用－プリオン分子モデルとこころのモデルを中心として (韓国語版)2013
- Author(s)
  河内明夫
- Journal Title
  
  News letter of the Korean Mathematical Society
  
  Volume: 148 Pages: 10-20
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] On the Alexander polynomials of knots with Gordian distance one2012
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Topology and its Applications
  
  Volume: 159 Pages: 948-958
- DOI
  10.1016/j.topol.2011.11.017
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-09F09220, KAKENHI-PROJECT-21244005
[Journal Article] Topology of prion proteins2012
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Journal of Mathematics and System Science
  
  Volume: 2 Pages: 237-248
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24654015
[Journal Article] Topology of prion proteins2012
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Journal of Mathematics and System Science
  
  Volume: ２ Pages: 237-248
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] On the Alexander polynomials of knots with Gordian distance one2011
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Topology and Its applications
  
  Volume: 158(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] Amphicheirality of links and Alexander invariants2011
- Author(s)
  A.Kawauchi, T.Kadokami
- Journal Title
  
  SCIENCE CHINA Mathematics
  
  Volume: 54(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] Amphicheirality of links and Alexander invariants2011
- Author(s)
  Teruhisa Kadokami
- Journal Title
  
  SCIENCE CHINA Mathematics
  
  Volume: 54 Pages: 2213-2227
- DOI
  10.1007/s11425-011-4217-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-09F09220, KAKENHI-PROJECT-21244005
[Journal Article] On Transforming a Spatial Graph into a Plane Graph2011
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Progress of Theoretical Physics Supplement
  
  Volume: Vol.191 Pages: 225-234
- DOI
  10.1143/ptps.191.225
- NAID
  110008798542
- ISSN
  0375-9687
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] What is Knot Theory ? Why Is It In Mathematics?2011
- Author(s)
  Akio Kawauchi
- Journal Title
  
  OCAMI Studies
  
  Volume: 4 Pages: 1-15
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] On alternation numbers of links2010
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Topology and its applications 157
  
  Pages: 274-279
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] Enumerating 3-manifolds with lengths up to g by a canonical order2010
- Author(s)
  A. Kawauchi and I. Tayama
- Journal Title
  
  Topology App1.
  
  Volume: Vol.157 Pages: 261-268
- DOI
  10.1016/j.topol.2009.04.028
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244005, KAKENHI-PROJECT-21540092
[Journal Article] 結び目理論の科学への応用-プリオン分子モデルとこころのモデルを中心として2010
- Author(s)
  河内明夫
- Journal Title
  
  数学通信 14-4
  
  Pages: 26-45
- NAID
  40017001185
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] Enumerating 3-manifolds with lengths up to 9 by a canonical order2010
- Author(s)
  Akio Kawauchi, Ikuo Tayama
- Journal Title
  
  Topology and its applications 157
  
  Pages: 261-268
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] Rational-slice knots via strongly negative-amphicheiral knots2009
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Communications in Mathematical Research 25
  
  Pages: 177-192
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] On a complexity of a spatial graph2009
- Author(s)
  Akio Kawauchi
- Journal Title
  
  物性研究:Knots and soft-matter physics, Topology of polymers and related topics in physics, mathematics and biology 92
  
  Pages: 16-19
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] Enumerating homology spheres with lengths up to 10 by a canonicalorder2009
- Author(s)
  Akio Kawauchi, Ikuo Tayama
- Journal Title
  
  Proceedings of Intelligence of Low-Dimensional Topology 2009 in honor of Professor Kunio Murasugi's 80th birthday
  
  Pages: 83-92
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] 絡み目の絡み数の絶対値を負の数の概念なしに定義すること2009
- Author(s)
  河内明夫
- Journal Title
  
  結び目の数学教育研究プロジェクト「結び目の数学教育への導入・小学生・中学生・高校生を対象として」(河内明夫・柳本朋子編) 3
  
  Pages: 13-21
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] 位相幾何学の基礎,2009
- Author(s)
  河内明夫
- Journal Title
  
  トポロジーデザイニング(ブッカーズ出版)
  
  Pages: 127140-127140
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] On the surface-link groups2007
- Author(s)
  A.Kawauchi
- Journal Title
  
  Knots and everything 40
  
  Pages: 157-164
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18654030
[Journal Article] Enumerating prime links by a canonical order2006
- Author(s)
  Akio Kawauchi
- Journal Title
  
  J. Knot Theory Ramifications 15
  
  Pages: 217-237
- Data Source
  KAKENHI-PROJECT-17340017
[Journal Article] A knot model in psychology2006
- Author(s)
  A.Kawauchi
- Journal Title
  
  Proc. Knot Theory for Scientific Objects OCAMI Studies 1
  
  Pages: 129-14
- Data Source
  KAKENHI-PROJECT-18654030
[Journal Article] Enumerating prime links by a canonical order2006
- Author(s)
  A.Kawauchi, I.Tayama
- Journal Title
  
  J.Knot Theory Ramifications 15・2
  
  Pages: 217-237
- Data Source
  KAKENHI-PROJECT-15340049
[Journal Article] Topological imitations and Reni-Meccia-Zimmermann's conjecture2006
- Author(s)
  A.Kawauchi
- Journal Title
  
  Kyungpook Math. J. 46
  
  Pages: 1-9
- Data Source
  KAKENHI-PROJECT-18654030
[Journal Article] Topological imitations and Reni-Mecchia-Zimmermann's conjecture2006
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Kyungpook Mathematical Journal 46
  
  Pages: 1-9
- Data Source
  KAKENHI-PROJECT-16340017
[Journal Article] Enumerating prime links by a canonical order2006
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Journal of Knot Theory and its Ramifications 15
  
  Pages: 217-237
- Data Source
  KAKENHI-PROJECT-16340017
[Journal Article] Enumerating prime links by a canonical order2006
- Author(s)
  A.Kawauchi, I.Tayama
- Journal Title
  
  J. Knot Theory Ramifications 15
  
  Pages: 217-237
- Data Source
  KAKENHI-PROJECT-18654030
[Journal Article] Topological imitation of a colored link with the same Dehn surgery manifold2005
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Topology and its applications 146-147
  
  Pages: 67-82
- Data Source
  KAKENHI-PROJECT-14540088
[Journal Article] Topological imitation of a colored link with the same Dehn surgery manifold2005
- Author(s)
  A.Kawauchi
- Journal Title
  
  Topology Appl. 146-147
  
  Pages: 67-82
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340049
[Journal Article] Topological imitation of a colored link with the same Dehn surgery manifold.2005
- Author(s)
  A.Kawauchi
- Journal Title
  
  Topology Appl. 146-147
  
  Pages: 67-82
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340049
[Journal Article] Topological imitation of a colored link with the same Dehn-surgery manifold2005
- Author(s)
  A.Kawauchi
- Journal Title
  
  Topology Appl 146-147
  
  Pages: 67-82
- Data Source
  KAKENHI-PROJECT-15340049
[Journal Article] Topological imitation of a colored link with the same Dehn surgery manifold2005
- Author(s)
  Kawauchi, Akio
- Journal Title
  
  Topology and its Applications 146(147)
  
  Pages: 67-82
- Data Source
  KAKENHI-PROJECT-14340027
[Journal Article] Enumerating the prime knots and links by a canonical order2004
- Author(s)
  A.Kawauchi, I.Tayama
- Journal Title
  
  Proceedings of the 1st East Asian School of Knots, Links, and Related Topics 単行本
  
  Pages: 307-316
- Data Source
  KAKENHI-PROJECT-14540088
[Journal Article] A tabulation of 3-manifolds via Dehn surgery
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Boletin de la Sociedad Matematica Mexicana to appear
- Data Source
  KAKENHI-PROJECT-14540088
[Journal Article] Enumerating prime links by a canonical order
- Author(s)
  A.Kawauchi, I.Tayama
- Journal Title
  
  Journal of Knot Theory and its Ramifications to appear
- Data Source
  KAKENHI-PROJECT-14540088
[Journal Article] A tabulation of 3-manifolds via Dehn surgery
- Author(s)
  Akio Kawauchi
- Journal Title
  
  Boletin de la Sociedad Matematica Mexicana To appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540088
[Journal Article] A tabulation of 3-manifolds via Dehn surgery
- Author(s)
  A.Kawauchi
- Journal Title
  
  Boletin de la Sociedad Mathematica Mexicana (掲載予定)
- Data Source
  KAKENHI-PROJECT-15340049
[Journal Article] Enumerating prime links by a canonical order
- Author(s)
  A.Kawauchi, I.Tayama
- Journal Title
  
  J. Knot Theory Ramifications (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340049
[Journal Article] Topology of prion proteins
- Author(s)
  Akio kawauchi and Kayo Yoshida
- Journal Title
  
  Journal of Mathematics and System Science
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244005
[Journal Article] Enumerating prime links by a canonical order.
- Author(s)
  A.Kawauchi, I.Tayama
- Journal Title
  
  J.Knot Theory Ramifications (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340049
[Journal Article] Enumerating prime links by a canonical order
- Author(s)
  Akio Kawauchi, Ikuo Tayama
- Journal Title
  
  J. Knot Theory Ramifications to appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540088
[Patent] スイッチングシステム2012
- Inventor(s)
  河内明夫、清水理佳、岸本健吾
- Industrial Property Rights Holder
  公立大学法人大阪市立大学
- Industrial Property Number
  2012-094282
- Filing Date
  2012-04-17
- Data Source
  KAKENHI-PROJECT-21244005
[Patent] 結び目理論を応用した量子スイッチシステム2012
- Inventor(s)
  河内明夫、岸本健吾、清水理佳
- Industrial Property Rights Holder
  河内明夫、岸本健吾、清水理佳
- Industrial Property Rights Type
  特許
- Industrial Property Number
  2012-094282
- Filing Date
  2012-04-17
- Data Source
  KAKENHI-PROJECT-24654015
[Patent] 結び目理論を応用した量子スイッチシステム2012
- Inventor(s)
  河内明夫、岸本健吾、清水理佳
- Industrial Property Rights Holder
  公立大学法人大阪市立大学
- Industrial Property Rights Type
  特許
- Industrial Property Number
  2012-094282
- Filing Date
  2012-04-17
- Data Source
  KAKENHI-PROJECT-24244005
[Patent] ゲーム装置、及びゲームプログラム2011
- Inventor(s)
  河内明夫、清水理佳、岸本健吾
- Industrial Property Rights Holder
  公立大学法人大阪市立大学
- Industrial Property Number
  2011-158263
- Filing Date
  2011-07-19
- Data Source
  KAKENHI-PROJECT-21244005
[Patent] ゲーム装置、およびゲームプログラム2011
- Inventor(s)
  河内明夫, 岸本健吾, 清水理佳
- Industrial Property Rights Holder
  公立大学法人大阪市立大学
- Industrial Property Number
  2011-095520
- Filing Date
  2011-04-21
- Data Source
  KAKENHI-PROJECT-21244005
[Patent] ゲーム装置、及びゲームプログラム2011
- Inventor(s)
  河内明夫、清水理佳、岸本健吾
- Industrial Property Rights Holder
  公立大学法人大阪市立大学
- Industrial Property Number
  2011-095520
- Filing Date
  2011-04-21
- Data Source
  KAKENHI-PROJECT-21244005
[Patent] ゲーム装置、およびゲームプログラム2011
- Inventor(s)
  河内明夫, 岸本健吾, 清水理佳
- Industrial Property Rights Holder
  公立大学法人大阪市立大学
- Industrial Property Number
  2011-158263
- Filing Date
  2011-07-19
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] On a cross-sectional link of an immersed sphere-link in 4-space,2016
- Author(s)
  Akio Kawauchi
- Organizer
  2016 Winter TAPU Workshop
- Place of Presentation
  Kyungpook National University(Daegu, Korea)
- Year and Date
  2016-02-16
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On a cross-sectional link of an immersed sphere-link in 4-space2016
- Author(s)
  Akio Kawauchi
- Organizer
  2016 International Workshop on Low-dimensional Topology in Dalian
- Place of Presentation
  Dalian University of Technology(Dalian,China)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Characteristic genera of closed orientable 3-manifolds2016
- Author(s)
  Akio Kawauchi
- Organizer
  Series Seminar Talks
- Place of Presentation
  Dalian University of Technology(Dalian,China)
- Year and Date
  2016-05-03
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Analytic function for all the orientable 3-manifolds via Blaschke product2016
- Author(s)
  河内明夫
- Organizer
  Mini-Workshop on Blaschke Product
- Place of Presentation
  大阪市立大学理学部E棟E408(大阪府大阪市)
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Cross-index of a graph2016
- Author(s)
  Akio Kawauchi
- Organizer
  Workshop on graphs and knots
- Place of Presentation
  Xiamen University(Xiamen, China)
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Cross-index of a graph2016
- Author(s)
  Akio Kawauchi
- Organizer
  International Workshop: Topology and graphs in polymer chemistry
- Place of Presentation
  東京工業大学東工大蔵前会館手島精一記念会議室(東京都目黒区)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Deforming a band-chord graph of a bounded ribbon surface-knot2016
- Author(s)
  河内明夫
- Organizer
  2016年度琉球結び目セミナー
- Place of Presentation
  那覇市てんぶす那覇2階那覇市伝統工芸館会議室(沖縄県那覇市)
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Cross-index of a graph2016
- Author(s)
  河内明夫
- Organizer
  東北結び目セミナー
- Place of Presentation
  東北大学片平キャンパスさくらホール(宮城県仙台市)
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On Hosokawa polynomial of a link, dedicated to the memory of Professor Fujitsugu Hosokawa2016
- Author(s)
  Akio Kawauchi
- Organizer
  国際研究集会KOOK-TAPU Workshop of Knots in Tsushima Island
- Place of Presentation
  対馬市交流センター(長崎県対馬市)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Alexander polynomial of a middle cross-section of a 2-link2016
- Author(s)
  河内明夫
- Organizer
  2016琉球結び目セミナー
- Place of Presentation
  てんぶす那覇(沖縄県那覇市)
- Year and Date
  2016-02-20
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On a cross-sectional link of an immersed sphere-link in 4-space2016
- Author(s)
  Akio Kawauchi
- Organizer
  Friday Seminar on Knot Theory
- Place of Presentation
  大阪市立大学理学部Ｆ棟415号室(大阪府大阪市)
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On a cross-sectional link of an immersed sphere-link in 4-space2016
- Author(s)
  Akio Kawauchi
- Organizer
  2016 International Workshop on Low-dimensional Topology in Dalian
- Place of Presentation
  Dalian University of Technology（Dalian、 China）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287013
[Presentation] 図形数学の必要性・・・結び目の研究からわかること2016
- Author(s)
  河内明夫
- Organizer
  大阪私学数学教育研究会春の講演会
- Place of Presentation
  大阪私学会館(大阪府大阪市)
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Crossing number of a graph associated to a tree2016
- Author(s)
  Akio Kawauchi
- Organizer
  KOOK-TAPU Joint Seminar on Knots and Related Topics
- Place of Presentation
  Pusan National University(Pusan, Korea)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Splitting criteria for a definite 4-manifold with infinite cyclic fundamental group2015
- Author(s)
  河内明夫
- Organizer
  ４次元のトポロジー
- Place of Presentation
  大阪市立大学(大阪府大阪市)
- Year and Date
  2015-11-20
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] A chord diagram for a ribbon surface-link and faithful equivalence2015
- Author(s)
  Akio Kawauchi
- Organizer
  TAPU Workshop in Jeju
- Place of Presentation
  Jeju National University (Jeju, Korea)
- Year and Date
  2015-09-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On ribbon surface-link2015
- Author(s)
  Akio Kawauchi
- Organizer
  The 10th East Asian School of Knots and Related Topics
- Place of Presentation
  Shanghai (China)
- Year and Date
  2015-01-28
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Knot Theory and Sciences2015
- Author(s)
  Akio Kawauchi
- Organizer
  JST SAKURA Science Plan for Shimae University and Chonbuk National University
- Place of Presentation
  島根大学(島根県・松江市)
- Year and Date
  2015-02-12
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Recent development on the　characteristic genera of closed orientable 3-manifolds2015
- Author(s)
  Akio Kawauchi
- Organizer
  1st Pan Pacific International Conference on Topology and Applications
- Place of Presentation
  Min Nan Normal University(Zhangzhou, China)
- Year and Date
  2015-11-27
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Chord diagram of ribbon surface-link2015
- Author(s)
  河内明夫
- Organizer
  瀬戸内結び目セミナー
- Place of Presentation
  大島商船高等専門学校(山口県大島郡）
- Year and Date
  2015-09-05
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Moves on the chord diagram of a ribbon surface-link2015
- Author(s)
  河内明夫
- Organizer
  結び目の数理セミナー Knotting Nagoya
- Place of Presentation
  名古屋工業大学（愛知県・名古屋市）
- Year and Date
  2015-03-18
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] A chord graph constructed from a ribbon surface-link2015
- Author(s)
  Akio Kawauchi
- Organizer
  AMS Special Session: Fullerton Spatial Graphs
- Place of Presentation
  University of California at Fullerton(Fullerton, U. S. A.)
- Year and Date
  2015-10-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Chord moves and faithful equivalence on ribbon surface-links2015
- Author(s)
  河内明夫
- Organizer
  拡大KOOKセミナー2015
- Place of Presentation
  神戸大学(兵庫県神戸市）
- Year and Date
  2015-08-19
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Knot Theory and Sciences2015
- Author(s)
  Akio Kawauchi
- Organizer
  JST SAKURA Science Plan for Shimae University and Chonbuk National University
- Place of Presentation
  島根大学（島根県・松江市）
- Year and Date
  2015-02-12
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Chord systems for ribbon surface-knots2014
- Author(s)
  Akio Kawauchi
- Organizer
  Workshop: Knots, Braids and Topology
- Place of Presentation
  Mohali (India)
- Year and Date
  2014-10-26
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] The equivalence on chord diagrams of a ribbon surface-link2014
- Author(s)
  河内明夫
- Organizer
  東北結び目セミナー
- Place of Presentation
  カレッジプラザ（秋田県・秋田市）
- Year and Date
  2014-10-18
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] The equivalence on chord diagrams of a ribbon surface-link2014
- Author(s)
  河内明夫
- Organizer
  東北結び目セミナー
- Place of Presentation
  カレッジプラザ（秋田県・秋田市）
- Year and Date
  2014-10-18
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Unknotting notions for spatial graphs2014
- Author(s)
  Akio Kawauchi
- Organizer
  Discussion meeting related to Knot Theory
- Place of Presentation
  Ropar (India)
- Year and Date
  2014-10-27
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Equivalence of chord diagrams for a ribbon surface-link.2014
- Author(s)
  Akio Kawauchi
- Organizer
  Colloquium at The Chinese University of Hong Kong
- Place of Presentation
  Hong Kong(China)
- Year and Date
  2014-11-26
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Smooth unknotting of a ribbon surface-knot2014
- Author(s)
  Akio Kawauchi
- Organizer
  IMS Seminar at The Chinese University of Hong Kong
- Place of Presentation
  Hong Kong (China)
- Year and Date
  2014-11-25
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] A chord diagram for a ribbon surface-link2014
- Author(s)
  Akio Kawauchi
- Organizer
  6th KOOK-TAPU Joint Seminar
- Place of Presentation
  Daejeon (Korea)
- Year and Date
  2014-07-22
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Introduction to Knot Theory2014
- Author(s)
  Akio Kawauchi
- Organizer
  華東師範大学連続講義
- Place of Presentation
  華東師範大学、中国
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] ＤＮＡ・蛋白質と結び目のトポロジー2014
- Author(s)
  河内明夫
- Organizer
  神戸薬科大学特別セミナー
- Place of Presentation
  神戸薬科大学
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] A chord diagram for a ribbon surface-link2014
- Author(s)
  Akio Kawauchi
- Organizer
  6th KOOK-TAPU Joint Seminar
- Place of Presentation
  Daejeon（Korea）
- Year and Date
  2014-07-22
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Equivalence of chord diagrams for a ribbon surface-link2014
- Author(s)
  Akio Kawauchi
- Organizer
  Colloquium at The Chinese University of Hong Kong
- Place of Presentation
  Hong Kong (China)
- Year and Date
  2014-11-26
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Topological splitting of a 4-manifold with infinite cyclic fundamental group, On 4-dimensinal universe for every 3-dimensional manifold2014
- Author(s)
  Akio Kawauchi
- Organizer
  Topology Seminar
- Place of Presentation
  北京大学、中国
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Unknotting notions for spatial graphs2014
- Author(s)
  Akio Kawauchi
- Organizer
  The 2014 KMJ Conference for Accreditation Strategies
- Place of Presentation
  Daegue (Korea)
- Year and Date
  2014-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Unknotting notions for spatial graphs2014
- Author(s)
  Akio Kawauchi
- Organizer
  The 2014 KMJ Conference for Accreditation Strategies
- Place of Presentation
  Daegue(Korea)
- Year and Date
  2014-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Smooth unknotting of a ribbon surface-knot2014
- Author(s)
  河内明夫
- Organizer
  研究集会「４次元トポロジー」
- Place of Presentation
  大阪市立大学(大阪府・大阪市）
- Year and Date
  2014-11-21
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds2014
- Author(s)
  Akio Kawauchi
- Organizer
  Topology Seminar
- Place of Presentation
  復旦大学、中国
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Topological splitting of a 4-manifold with infinite cyclic fundamental group2014
- Author(s)
  Akio Kawauchi
- Organizer
  AKOOS-PNU International Conference
- Place of Presentation
  Pusan National University, Pusan, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Topological splitting of a 4-manifold　with infinite cyclic fundamental group and its applications to surface-knot, theory2014
- Author(s)
  Akio Kawauchi
- Organizer
  Workshop: Knots, Braids and Topology
- Place of Presentation
  Mohali (India)
- Year and Date
  2014-10-25
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Splitting a smooth 4-manifold with infinite cyclic fundamental group2014
- Author(s)
  Akio Kawauchi
- Organizer
  ICM satellite conference “Knots and low dimensional manifolds”
- Place of Presentation
  Busan (Korea)
- Year and Date
  2014-08-23
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Disk-arc presentations of ribbon surface-links2014
- Author(s)
  河内明夫
- Organizer
  研究集会Hurwitz action～ひねる代数～
- Place of Presentation
  草津セミナーハウス
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] 結び目の不思議な世界2013
- Author(s)
  河内明夫
- Organizer
  大阪市立大学文化交流センター夏期講座
- Place of Presentation
  大阪駅前第2ビル6階
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Knot theory for spatial graphs with the degree one vertices on a closed surface2013
- Author(s)
  Akio Kawauchi
- Organizer
  Conference on Spatial Graphs
- Place of Presentation
  Loyola Marymount University (U. S. A.)
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] 結び目の不思議な世界の数学の旅2013
- Author(s)
  河内明夫
- Organizer
  東京女子大学学会講演会
- Place of Presentation
  東京女子大学
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On 4-manifolds with every 3-manifold embedded2013
- Author(s)
  河内　明夫
- Organizer
  E-KOOK セミナー
- Place of Presentation
  大阪市立大学学術情報総合センター10 階
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] On universal 4-manifolds for 3-manifolds2013
- Author(s)
  Akio Kawauchi
- Organizer
  2013 TAPU Winter Workshop on　Knots and Related Topics
- Place of Presentation
  Kyungpook National University(韓国)
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Tabulation of 3-manifolds of lengths　up to 102013
- Author(s)
  Akio Kawauchi
- Organizer
  9th East Asian School of Knots and Related Topics
- Place of Presentation
  University of Tokyo
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] 結び目をどのように教育するか2013
- Author(s)
  河内明夫
- Organizer
  N-KOOKセミナー
- Place of Presentation
  大阪市立大学文化交流センター, 大阪駅前第2ビル6階
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Example of a 4-manifold with eve ry close d 3-manifold embedded2013
- Author(s)
  河内　明夫
- Organizer
  Knots in east Osaka VI
- Place of Presentation
  大阪工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Splitting a 4-manifold with infinite cyclic fundamental group, revised2013
- Author(s)
  河内明夫
- Organizer
  東北結び目セミナー
- Place of Presentation
  東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] 結び目の不思議な世界2013
- Author(s)
  河内明夫
- Organizer
  大阪市立大学文化交流センター夏期講座
- Place of Presentation
  大阪市立大学文化交流センター(大阪駅前第2ビル6階)
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Knot theory for spatial graphs (Topology for spatial graphs without degree one vertices, Several notions on unknotted graphs, The unknotting number of a spatial graph in each notion of unknotted graphs, Spatial graphs with degree one vertices on a surface)2013
- Author(s)
  Akio Kawauchi
- Organizer
  Summer School in China
- Place of Presentation
  大連交通大学国際文化交流中心，大連，中国
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] 結び目の不思議な世界の数学の旅2013
- Author(s)
  河内明夫
- Organizer
  東京女子大学学会講演会
- Place of Presentation
  東京女子大学
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Component-conservative invertibility of links and Samsara 4-manifolds2013
- Author(s)
  河内明夫
- Organizer
  2013琉球結び目セミナー
- Place of Presentation
  那覇市ぶんかテンブス館3階
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Universe for 3-manifolds2013
- Author(s)
  Akio Kawauchi
- Organizer
  International Conference on Topology and Geometry 2013 joint with the 6th Japan-Mexico Topology Symposium
- Place of Presentation
  Shimane University
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Mini-course on knot theory for spatial graphs (Topology for spatial graphs without degree one vertices, Unknotting notions on the spatial graphs, Spatial graphs with degree one vertices attaching to a surface)2013
- Author(s)
  Akio Kawauchi
- Organizer
  Advanced School on Knot Theory and its applications
- Place of Presentation
  IIT Ropar, Punjab, India
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On 4-manifolds with every 3-manifold embedded2013
- Author(s)
  河内　明夫
- Organizer
  E-KOOK セミナー
- Place of Presentation
  大阪市立大学学術情報総合センター10 階
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] 結び目をどのように教育するか2013
- Author(s)
  河内明夫
- Organizer
  N-KOOKセミナー
- Place of Presentation
  大阪駅前第2ビル6階
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Example of a 4-manifold with eve ry close d 3-manifold embedded2013
- Author(s)
  河内　明夫
- Organizer
  Knots in east Osaka VI
- Place of Presentation
  大阪工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds2013
- Author(s)
  Akio Kawauchi
- Organizer
  Topology Seminar
- Place of Presentation
  Pusan National University, Pusan, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On universal 4-manifolds for 3-manifolds2013
- Author(s)
  Akio Kawauchi
- Organizer
  2013 TAPU Winter Workshop on　Knots and Related Topics
- Place of Presentation
  Kyungpook National University（韓国）
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds2013
- Author(s)
  Akio Kawauchi
- Organizer
  Discussion Meeting on Knot Theory and its applications
- Place of Presentation
  IIT Ropar, Punjab, India
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] 結び目の不思議な世界と数学2013
- Author(s)
  河内明夫
- Organizer
  文部科学省委託事業「数理学生応援プロジェクト」
- Place of Presentation
  島根大学総合理工学部
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] 無限巡回被覆の符号数について（結び目と絡み目の符号数との関係、4次元多様体との関係、“Universe for 3-manifolds"への応用）2013
- Author(s)
  河内明夫
- Organizer
  Knotting Nagoya
- Place of Presentation
  名古屋工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] 結び目の不思議な世界と数学2013
- Author(s)
  河内明夫
- Organizer
  文部科学省委託事業「数理学生応援プロジェクト」
- Place of Presentation
  島根大学総合理工学部
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Tabulation of 3-manifolds of lengths　up to 102013
- Author(s)
  Akio Kawauchi
- Organizer
  9th East Asian School of Knots and Related Topics
- Place of Presentation
  University of Tokyo
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] 曲面に接した空間グラフのトポロジー2013
- Author(s)
  河内明夫
- Organizer
  東京女子大トポロジーセミナー
- Place of Presentation
  東京女子大学
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] イミテーション理論2013
- Author(s)
  河内明夫
- Organizer
  神戸大学集中講義
- Place of Presentation
  神戸大学理学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On the homology of an open 4-manifold with every closed 3-manifold embedded2012
- Author(s)
  河内　明夫
- Organizer
  ４次元トポロジー
- Place of Presentation
  広島大学
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On non-homeomorphic prime link exteriors with the same fundamental group2012
- Author(s)
  河内明夫
- Organizer
  2012琉球結び目セミナー
- Place of Presentation
  那覇市ぶんかテンブス館
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Signature theorem for an ∞-cyclic covering of a non-compact even-dimensional manifold2012
- Author(s)
  河内　明夫
- Organizer
  東北結び目セミナー2012
- Place of Presentation
  山形大学小白川キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Signature theorem for an ∞-cyclic covering of a non-compact even-dimensional manifold2012
- Author(s)
  河内明夫
- Organizer
  東北結び目セミナー2012
- Place of Presentation
  山形大学小白川キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Topology of prion proteins (a joint work with Kayo Yoshida)2012
- Author(s)
  Akio Kawauchi
- Organizer
  AMS Special Session on Knotting in Linear and Ring Polymer Models
- Place of Presentation
  University of Hawaii at Manoa, U.S.A.(招待講演)
- Year and Date
  2012-03-03
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Topology of prion proteins2012
- Author(s)
  Akio Kawauchi
- Organizer
  AMS Special Session on Knotting in Linear and Ring Polymer Models
- Place of Presentation
  University of Hawaii at Manoa, U. S. A
- Year and Date
  2012-03-03
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] On non-homeomorphic prime link exteriors with the same fundamental group2012
- Author(s)
  河内　明夫
- Organizer
  2012琉球結び目セミナー
- Place of Presentation
  那覇市ぶんかテンブス館
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] On the homology of an open 4-manifold with every closed 3-manifold embedded2012
- Author(s)
  河内明夫
- Organizer
  ４次元トポロジー
- Place of Presentation
  広島大学
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Surface-knots in the stable 4-space2012
- Author(s)
  Akio Kawauchi
- Organizer
  The 20th TAPU seminar
- Place of Presentation
  Kyungpook National University, Daegu, Korea(招待講演)
- Year and Date
  2012-01-06
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Homology of an open 4-manifold with every closed 3-manifold embedded2012
- Author(s)
  Akio Kawauchi
- Organizer
  2012 TAPU Workshop on Knot Theory (The 4th TAPU-KOOK Joint Seminar on Knots and Related Topics) and TAPU Summer School on Quandle Theory
- Place of Presentation
  Pusan National University（韓国）
- Invited
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] Homology of an open 4-manifold with every closed 3-manifold embedded2012
- Author(s)
  Akio Kawauchi
- Organizer
  2012 TAPU Workshop on Knot Theory (The 4th TAPUKOOK Joint Seminar on Knots and Related Topics) and TAPU Summer School on Quandle Theory
- Place of Presentation
  Pusan National University(韓国)
- Invited
- Data Source
  KAKENHI-PROJECT-24654015
[Presentation] Topology of prion proteins (a joint work with Kayo Yoshida)2012
- Author(s)
  Akio Kawauchi
- Organizer
  The 8th East AsianSchool of knots and related topics
- Place of Presentation
  KAIST, Daejon, Korea(招待講演)
- Year and Date
  2012-01-09
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 結び目理論を応用する2011
- Author(s)
  河内明夫
- Organizer
  大阪市立大学学術戦略会議
- Place of Presentation
  大阪市立大学(招待講演)
- Year and Date
  2011-06-14
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Topology of prion proteins (joint work with Kayo Yoshida)2011
- Author(s)
  Akio Kawauchi
- Organizer
  The 19th TAPU Seminar
- Place of Presentation
  Seacloud Hotel at Haeundae, Busan、Korea(招待講演)
- Year and Date
  2011-09-15
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Knot Theory2011
- Author(s)
  Akio Kawauchi
- Organizer
  a series of lectures at Pusan National University Invited Visiting Professor Program
- Place of Presentation
  Pusan National University(招待講演)
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 結び目理論を応用した領域選択ゲームについて2011
- Author(s)
  河内明夫
- Organizer
  研究集会「トポロジーとコンピュータ2011」
- Place of Presentation
  名城大学名駅サテライト(招待講演)
- Year and Date
  2011-11-13
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] The Alexander polynomials of immersed cobordant links2011
- Author(s)
  Akio Kawauchi
- Organizer
  The 19th TAPU Seminar
- Place of Presentation
  Seacloud Hotel at Haeundae, Busan、Korea(招待講演)
- Year and Date
  2011-09-16
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Topology of prion proteins (a joint work with Kayo Yoshida)2011
- Author(s)
  Akio Kawauchi
- Organizer
  東北結び目セミナー
- Place of Presentation
  東北大学さくらホール(招待講演)
- Year and Date
  2011-10-15
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 結び目理論を応用する(清水理佳氏との共同講演)2011
- Author(s)
  河内明夫
- Organizer
  大阪市立大学学術戦略会議
- Place of Presentation
  大阪市立大学
- Year and Date
  2011-06-14
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 結び目数学入門(結び目を知ること),結び目数学入門(結び目と絡み目を構成する)2011
- Author(s)
  河内明夫
- Organizer
  中学校数学研究部および高等学校数学研究同好会対象特別講義
- Place of Presentation
  咲くやこの花中学校・高等学校(招待講演)
- Year and Date
  2011-11-24
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Knot Theory for Spatial Graphs2011
- Author(s)
  Akio Kawauchi
- Organizer
  Colloquium talk
- Place of Presentation
  East China Normal University, Shanghai, China(招待講演)
- Year and Date
  2011-05-19
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Recent applications of topological imitation theory2011
- Author(s)
  Akio Kawauchi
- Organizer
  Workshop on Low Dimensional Topology in Shanghai and Suzhou
- Place of Presentation
  East China Normal University, Shanghai, China(招待講演)
- Year and Date
  2011-05-15
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 数学「結び目理論」を応用した電子ゲームとその製品化2011
- Author(s)
  河内明夫
- Organizer
  科学情報発信セミナー
- Place of Presentation
  奈良女子大学(招待講演)
- Year and Date
  2011-10-04
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 数学「結び目理論」を応用した電子ゲーム装置2011
- Author(s)
  河内明夫
- Organizer
  大阪府立大学・大阪市立大学新技術説明会
- Place of Presentation
  科学技術振興機構JSTホール(東京・市ヶ谷)(招待講演)
- Year and Date
  2011-10-14
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 数学「結び目理論」を応用した電子ゲーム装置2011
- Author(s)
  河内明夫
- Organizer
  大阪府立大学・大阪市立大学新技術説明会
- Place of Presentation
  科学技術振興機構JSTホール(東京・市ヶ谷)
- Year and Date
  2011-10-14
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Immersed link cobordism and multi-variable Alexander polynomial2011
- Author(s)
  Akio Kawauchi
- Organizer
  Colloquium talk
- Place of Presentation
  East China Normal University, Shanghai, China(招待講演)
- Year and Date
  2011-05-19
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 2-knots in the stable 4-space2011
- Author(s)
  河内明夫
- Organizer
  研究集会「4次元トポロジー」
- Place of Presentation
  広島大学(招待講演)
- Year and Date
  2011-11-08
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 結び目を知ること2011
- Author(s)
  河内明夫
- Organizer
  大阪府公立中学校数学教育研究会総会講演
- Place of Presentation
  大阪教育大学天王寺キャンパス(招待講演)
- Year and Date
  2011-06-27
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Cross-change and Alexander polynomial2010
- Author(s)
  Akio Kawauchi
- Organizer
  2nd TAPU-KOOK joint Seminar
- Place of Presentation
  Kyungpook National University(招待講演)
- Year and Date
  2010-07-30
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Immer sed I ink cobordism and Al exander polynomial2010
- Author(s)
  河内明夫
- Organizer
  東北結び目セミナー
- Place of Presentation
  山形県山形市遊学館(招待講演)
- Year and Date
  2010-10-23
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Rational-slice knots via strongly negative-amphicheiral knots2010
- Author(s)
  河内明夫
- Organizer
  4次元のトポロジー
- Place of Presentation
  広島大学
- Year and Date
  2010-01-19
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Applying spatial graph imitations2010
- Author(s)
  Akio Kawauchi
- Organizer
  The Sixth East Asian School of Knots and Related Topics
- Place of Presentation
  Chern Institute of Mathematics, China
- Year and Date
  2010-01-27
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] アレクサンダー加群(Alexander module)2010
- Author(s)
  河内明夫
- Organizer
  広島大学数学教室談話会
- Place of Presentation
  広島大学(招待講演)
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Application of knot theory to prion diseases2010
- Author(s)
  Akio Kawauchi
- Organizer
  The 48th Annual Meeting of the Biophysical Society of Japan
- Place of Presentation
  東北大学(招待講演)
- Year and Date
  2010-09-21
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 空間グラフのイミテーションの理論(Theory of spatial graph imitations)2010
- Author(s)
  河内明夫
- Organizer
  東北大学数学教室談話会
- Place of Presentation
  東北大学(招待講演)
- Year and Date
  2010-06-14
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Knot theory for spatial graphs2010
- Author(s)
  Akio Kawauchi
- Organizer
  A colloquium talk of Pusan National University
- Place of Presentation
  Pusan National University(招待講演)
- Year and Date
  2010-12-30
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] On the Al exander polynomials of Gordian distance one2010
- Author(s)
  Akio Kawauchi
- Organizer
  5th Japan-Mexico Topology Conference
- Place of Presentation
  Universidad de Colima, Mexico(招待講演)
- Year and Date
  2010-10-01
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] On transforming a spatial graph into a plane graph2010
- Author(s)
  Akio Kawauchi
- Organizer
  International Conference "Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins"
- Place of Presentation
  京都大学基礎物理研究所(招待講演)
- Year and Date
  2010-08-02
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Immersed link cobordism and multi-variable Alexander polynomial2010
- Author(s)
  Akio Kawauchi
- Organizer
  Four Dimensional Topology
- Place of Presentation
  Hiroshima University(招待講演)
- Year and Date
  2010-11-17
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] On the Alexander polynomials of Gordian distance one2010
- Author(s)
  河内明夫
- Organizer
  Knotting Nagoya
- Place of Presentation
  名古屋工業大学(招待講演)
- Year and Date
  2010-06-05
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 絡み目のもろて性とアレクサンダー不変量2010
- Author(s)
  河内明夫
- Organizer
  広島大学トポロジー・幾何セミナー
- Place of Presentation
  広島大学(招待講演)
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] On the Alexander polynomials of knots with Gordian distance one2009
- Author(s)
  Akio Kawauchi
- Organizer
  The first KOOK-TAPU Joint Seminar(=TOP Seminar) on Knot Theory and Related Topics
- Place of Presentation
  大阪市立大学
- Year and Date
  2009-08-18
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] Applying spatial graph imitations to links2009
- Author(s)
  河内明夫
- Organizer
  東北結び目セミナー
- Place of Presentation
  山形テルサ(山形市)
- Year and Date
  2009-10-18
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] 結び目理論の科学への応用-プリオン分子モデルとこころのモデルを中心として2009
- Author(s)
  河内明夫
- Organizer
  日本数学会市民講演会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-23
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] A crossing change of a knot and the Alexander polynomials2009
- Author(s)
  河内明夫
- Organizer
  Knotting Nagoya
- Place of Presentation
  名古屋工業大学
- Year and Date
  2009-07-04
- Data Source
  KAKENHI-PROJECT-21244005
[Presentation] On alternation numbers of links2008
- Author(s)
  河内明夫
- Organizer
  APU Seminar
- Place of Presentation
  韓国慶北国立大学
- Year and Date
  2008-01-17
- Data Source
  KAKENHI-PROJECT-18654030
[Presentation] Enumerating prime Iinks and closed orientable 3-manifolds by characteristic rational invariants2007
- Author(s)
  河内明夫
- Organizer
  International conference on low dimensional topology
- Place of Presentation
  北京大学
- Year and Date
  2007-06-19
- Data Source
  KAKENHI-PROJECT-18654030

1. KANENOBU Taizo (00152819)

# of Collaborated Projects: 26 results

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2. KAMADA Seiichi (60254380)

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Kawauchi Akio 河内 明夫

KAWAUCHI Akio 河内 明夫

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グラフィクスとカンドル理論の観点からの4次元トポロジーの研究Ongoing

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Research on knot theory and its applicationOngoing

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Studies of knot theory and their applicationsPrincipal Investigator

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Applications of knot theory to game and sciencesPrincipal Investigator

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Studies of Knot TheoryPrincipal Investigator

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Kawauchi Akio 河内明夫

KAWAUCHI Akio 河内明夫