KOBAYASHI Tsuyoshi 小林毅

… Alternative Names

小林毅コバヤシツヨシ

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Researcher Number	00186751
Other IDs
Affiliation (Current)	2025: 奈良女子大学, その他部局等, 名誉教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 奈良女子大学, 自然科学系, 教授 2012 – 2020: 奈良女子大学, 自然科学系, 教授 2014: 奈良女子大学, 理学部, 教授 2006 – 2011: 奈良女子大学, 大学院・人間文化研究科, 教授 2009: 奈良女子大学, 理学部, 教授 … More 2006: Nara Women's University, Graduate School of Humanities and Sciences, Professor, 大学院人間文化研究科, 教授 1996 – 2005: Nara Women's University Department of Information and Computer Sciences Professo, 理学部, 教授 1994 – 1996: 奈良女子大学, 理学部, 助教授 1990 – 1992: 大阪大学, 理学部, 講師 1988: 大阪大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / 代数学・幾何学 / Geometry / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator 結び目 / Heegaard分解 / 三次元多様体 / Heegaard splitting / knot / Dehn twist / 3-manifold / トンネル数 / triangulation / 折り紙 … More / 橋分解 / 結び目・絡み目 / 位相的データ解析 / growth function / automatic group / tunnel number / 絡み目 / Knot / Riemannian metric / 球面曲線 / Hempel距離 / 橋指数 / ミウラ折り / Heegaard 分解 / 種数 / 応用トポロジー / 幾何学 / 平面曲線 / 安定交点数 / ニューラルネットワーク / 機械学習 / 安定校点数 / 自然言語処理 / データ解析 / Seifert surface / plumbing / Seifert曲面 / 結び目、絡み目 / 共形幾何学 / Ricci flow / 連結和 / Haken manifold / knots / Heegaard splittings / 3-manifolds / virtual Haken予想 / オートマティック群 / Haken多様体 / Einstein metric / Ricci curvature / Tunnel number / Untelescoping / Heegaard Splitting / アインシュタイン計量 / リッチ曲率 / 擬等角変形 / 双曲構造 / train track / 分岐曲面 / 層状化 / 3次元多様体 / ３次元多様体 / Hemel distance / Heeaard分解 / 三次元双曲多様体 / graphic / 安定写像 / Hempel distance / 相似構造 / 距離 / メビウス変換 / 臨海リーマン計量 / 3次元双曲幾何学 / 臨界リーマン計量 / 位相幾何 / ヘッケ環 / パーコレーション / ガウス語 / 閉曲線 / thin position / タングル分解 / ヘ-ガード分解 … More Except Principal Investigator 結び目 / 3次元多様体 / McShaneの等式 / 擬フックス群 / 2橋結び目 / 穴あきトーラス / ヘガード分解 / 双曲構造 / punctured torus / 錐多様体 / フォード領域 / 不変量 / 基本群 / グラフ / ヘッケ環 / 解消トンネル / 2-bridge knot / ザイフェルト曲面 / small cancellation theory / 曲面束 / 共形構造 / 幾何構造 / 神経回路網 / ３次元多様体 / Ford domain / Hecguard Splittings / quasi-fuchsian group / カスプ / 双曲結び目 / 極限集合 / Weil-Petersson距離 / 穴開きトーラス群 / 穴開トーラス / 穴開きトーラス / graph / lowdimensional topology / quantum ivariant / 3-manifold / knot / 絡み目 / 低次元トポロジー / 量子不変量 / quasifuchisian space / McShane's indentity / Epstein-Penner docomposition / hyperbolic manifolds / Zariski pair / finite Galois coverings / fundamental group / 手術表示 / 周期絡み目 / 軌道体 / 穴あきトーラス群 / Epatein-Penner分解 / 理想多面体分割 / カスプ付き双曲多様体 / 退化族 / 有限分岐被覆 / 双曲空間 / 擬フックス空間 / Epstein-Penner分解 / 双曲多様体 / Zariski対 / 有限ガロア被覆 / vertex / Schwarzian / Ricci curvature / scalar curvature / projective structure / Moebius geometry / conformal connection / confomal structure / 極小曲面 / ヤン・ミルズ方程式 / ワイル構造 / スカラー曲率方程式 / 頂点 / シュワルツ微分 / リッチ曲率 / スカラー曲率 / 射影構造 / メビウス幾何 / 共形接続 / parallel invariants / Computer aided software / W-graphs / Braids / Invariants / Hecke Algebras / Matrix representations / Knots / ミュータント結び目 / 平行化不変量 / 支援ソフトウェア / W-グラフ / ブレイド / 行列表現 / Super Lie algebra / Singularity / Quantum group / Hecke algebra / Knot invariant / Ernst equation / テンパリー・リーブ代数 / ベルグマン核 / オービホールド / ヘーガード分解 / エルンスト方程式 / デル・ペッツオ曲面 / 局所ワイル群 / ホップ代数 / 超リー代数 / 特異点 / ルート系 / 量子群 / 重力場 / 連分数展開 / スーパーシンギュラー素点 / モジュラー方程式 / 虚2次体 / 虚数乗法論 / ジーゲル関数 / クロネッカー極限公式 / 楕円的モンテシノス絡み目 / 2橋球面 / free period / Heckoid orbifold / Heegaard decomposition / Heckoid group / モノドロミー群 / ２橋結び目 / 写像類群 / cusp shape / McShane's identity / Heegaard splitting / bridge decomposition / 2-bridge link / virtual fiber / Montesinos knot / 垣水複体 / 強可逆結び目 / 穴あきトーラス束 / Cannon-Thurston-Dicks分解 / Canonical decomposition / Cannon-Thurston写像 / へガード分解 / 標準的分割 / Cannon-Thurston map / モジュラー型式 / 多様体 / アレキサンダー多項式 / フロアホモロジー / ジョーンズ多項式 / ヴィッテン不変量 / 位相不変量 / ゲージ理論 / 量子論 / 結び目理論 / ケ-ラ-Cー空間 / 等質空間 / 主ト-ラス束 / リ-マニアンサブマ-ション / アインシュタイン多様体 / 内的シミュレ-ション / メタレベル表現 / 動的パ-タン学習 / オ-トマン / YangーBaxter方程式 / Alexander多項式 / 組み紐群 / ケ-ラ-アインシュタイン多様体 / Sーコボルディズム / 誘導定理 / ホワイトヘッド群 / 環境 / 力学系 / オ-トマトン / アトラクタ / 認識 / 学習 / 動的パタ-ン Less

大域構造の空間を基軸とする低次元トポロジーの研究とその応用Principal Investigator
- Principal Investigator
  
  小林毅
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Nara Women's University
３次元双曲多様体上の量子トポロジー
- Principal Investigator
  
  大槻知忠
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyoto University
Development and Evolution of Low-dimensional TopologyPrincipal Investigator
- Principal Investigator
  
  Kobayashi Tsuyoshi
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
Research on 3-manifold using geometric techniques and its developmentPrincipal Investigator
- Principal Investigator
  
  Kobayashi Tsuyoshi
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
Geometric structure and combinatorial structure of 3-dimensional manifolds
- Principal Investigator
  
  SAKUMA MAKOTO
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hiroshima University
On developments and applications of Heegaard theoryPrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Tsuyoshi
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
Research on 3-manifolds based on geometric techniques and its expansePrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Tsuyoshi
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
Heegaard structures and geometric structures of 3-manifolds
- Principal Investigator
  
  SAKUMA Makoto (MAKOTO Sakuma)
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hiroshima University
  Osaka University
Geometric structures of 3-manifolds and various related structuresPrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Tsuyoshi
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
Research on various geometric structures on 3-manifoldsPrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Tsuyoshi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
Hecguard Splittings and genetic structures of 3-manifolds
- Principal Investigator
  
  SAKUMA Makoto
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
低次元トポロジーの総合的研究
- Principal Investigator
  
  MURAKAMI Hitoshi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Heegaad splittings of 3-dimensional manifolds and geometric structures
- Principal Investigator
  
  NAMBA Makoto, 作間誠
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  OSAKA UNIVERSITY
Representations of 3-manifolds and geometric informations derived from themPrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Tsuyoshi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
Combinatorial structures of low dimensional manifoldsPrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Tsuyoshi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
Gemetric Structures on Manifolds and Global Analysis
- Principal Investigator
  
  KOBAYASHI Osamu
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kanazawa University
  Nara Women's University
多様体の幾何構造と大域解析
- Principal Investigator
  
  小林治
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
Constructions of Matrix representations of Hecke algebras through W-graphs
- Principal Investigator
  
  OCHIAI Mitsuyuki
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  NARA WOMEN'S UNIVERSITY
低次元多様体の組合せ的構造の研究Principal Investigator
- Principal Investigator
  
  小林毅
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
三次元多様体の位相不変量と幾何Principal Investigator
- Principal Investigator
  
  小林毅
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
結び目・絡み目と,3・4次元多様体の幾何学
- 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
Representations of Groups, Lie Algebras, and Algebras
- Principal Investigator
  
  KAWANAKA Noriaki
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
環境の動的構造を学習する神経回路網の研究
- Principal Investigator
  
  辻下徹
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
アインシュタイン多様体の研究
- Principal Investigator
  
  坂根由昌
- 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 University
動的パタ-ンの神経回路網による認識と学習の機構
- Principal Investigator
  
  辻下徹
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
同変Sーコボルディズム理論と誘導定理
- Principal Investigator
  
  川久保勝夫
- 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 University
クロネッカー極限公式と虚数乗法論
- Principal Investigator
  
  山本芳彦
- 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 University

[Journal Article] On keen weakly reducible bridge splittings of links2023
- Author(s)
  Ayako Ido, Yeonjee Jang, Tsuyoshi Kobayashi
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 2263 Pages: 79-86
- Data Source
  KAKENHI-PROJECT-22K03313
[Journal Article] Similarity structure on 2-dimensional torus and flat origami2019
- Author(s)
  Miki Irii, Tsuyoshi Kobayashi, and Hiroko Murai
- Journal Title
  
  JP Jour. of Geometry and Topology
  
  Volume: 22 Issue: 1 Pages: 45-63
- DOI
  10.17654/gt022010045
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05249
[Journal Article] Stable Double Point Numbers of Pairs of Spherical Curves2019
- Author(s)
  Sumika Kobayashi, Tsuyoshi Kobayashi
- Journal Title
  
  JP Journal of Geometry and Topology
  
  Volume: 22 Issue: 2 Pages: 129-163
- DOI
  10.17654/gt022020129
- NAID
  120006783777
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05249
[Journal Article] The growth rate of the tunnel number of m-small knots2018
- Author(s)
  Tsuyoshi Kobayashi, and Yo’av Rieck
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 296 Issue: 1 Pages: 57-101
- DOI
  10.2140/pjm.2018.295.57
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05249
[Journal Article] A distance on the equivalence classes of spherical curves generated by deformations of type RI2018
- Author(s)
  Yukari Funakoshi, Megumi Hashizume, Noboru Ito, Tsuyoshi Kobayashi, and Hiroko Murai
- Journal Title
  
  Jour. Knot Theory and its Ramifications
  
  Volume: 27 Issue: 12 Pages: 1850066-1850066
- DOI
  10.1142/s0218216518500669
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05249
[Journal Article] On keen Heegaard splittings2018
- Author(s)
  Ayako Ido, Yeonhee Jang, Tsuyoshi Kobayashi
- Journal Title
  
  Adv. Stud. Pure Math.
  
  Volume: 78 Pages: 293-311
- DOI
  10.2969/aspm/07810293
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05249
[Journal Article] The spectrum of the growth rate of the tunnel number is infinite2016
- Author(s)
  Kenneth L. Baker, Tsuyoshi Kobayashi, Yo'av Rieck
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 144 Issue: 8 Pages: 3609-3618
- DOI
  10.1090/proc/12957
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400091
[Journal Article] A knot with destabilized bridge spheres of arbitrarily high bridge number2016
- Author(s)
  Yeonhee Jang, Tsuyoshi Kobayashi, Makoto Ozawa, Kazuto Takao
- Journal Title
  
  J. London Math.
  
  Volume: 93 Issue: 2 Pages: 379-396
- DOI
  10.1112/jlms/jdw004
- NAID
  120006658032
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400091, KAKENHI-PROJECT-26400097, KAKENHI-PROJECT-16H03928, KAKENHI-PROJECT-14J03358, KAKENHI-PROJECT-26800042
[Journal Article] Strong cylindricality and the monodromy of bundles2015
- Author(s)
  K. Ichihara, T. Kobayashi, and Y. Rieck
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 143 Issue: 7 Pages: 3169-3176
- DOI
  10.1090/s0002-9939-2015-12473-2
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400091, KAKENHI-PROJECT-26400100
[Journal Article] Bridge splittings of links with distance exactly n2015
- Author(s)
  Ayako Ido, Yeonhee Jang and Tsuyoshi Kobayashi
- Journal Title
  
  Topology and its Appl.
  
  Volume: 196 Pages: 608-617
- DOI
  10.1016/j.topol.2015.05.028
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400091, KAKENHI-PROJECT-15H06284
[Journal Article] Hyperbolic volume and Heegaard distance2014
- Author(s)
  Y.Rieck, and T.Kobayashi
- Journal Title
  
  Comm. Anal. Geom.
  
  Volume: 22 Issue: 2 Pages: 247-268
- DOI
  10.4310/cag.2014.v22.n2.a3
- NAID
  120006657906
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400091
[Journal Article] Heegaard splittings of distan ce exactly n2014
- Author(s)
  A.Ido, Y.Jang and T.Kobayashi
- Journal Title
  
  Algebraic and Geometric Topology
  
  Volume: 14 Issue: 3 Pages: 1395-1411
- DOI
  10.2140/agt.2014.14.1395
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-11J09524, KAKENHI-PROJECT-25400091, KAKENHI-PROJECT-25887039
[Journal Article] (1,1)-bridge splitting with distance exactly n2013
- Author(s)
  A. Ido, Y. Jang and T. Kobayashi
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1868 Pages: 32-37
- Data Source
  KAKENHI-PROJECT-25400091
[Journal Article] A linear bound on the tetrahedral number of manifolds of bounded volume (after Jorgensen and Thurston)2011
- Author(s)
  T.Kobayashi, and Y.Rieck
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 560 Pages: 27-42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540082
[Journal Article] Destabilizing Heegaard splittings of knot exteriors2010
- Author(s)
  T.Kobayashi, T.Saito
- Journal Title
  
  Topology and its Appl.
  
  Volume: 157 Pages: 201-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540082
[Journal Article] A design for gseudo-Anosov braids using hypotrochoid curves2010
- Author(s)
  T.Kobayashi, S.Umeda
- Journal Title
  
  Topology and its Appl.
  
  Volume: 157 Pages: 280-289
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540082
[Journal Article] Destabilizing Heegaard splittings of knot exteriors2010
- Author(s)
  T.Kobayashi, and T.Saito
- Journal Title
  
  Topology and its Appl
  
  Volume: 157 Pages: 202-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540082
[Journal Article] A design for pseudo-Anosov braids using hypotrochoid curves2010
- Author(s)
  T.Kobayashi, and S.Umeda
- Journal Title
  
  Topology and its Appl
  
  Volume: 157 Pages: 280-289
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540082
[Journal Article] Knots with g(E(K))=2 and g(E(K # K # K))=6 and Morimoto's Conjecture2009
- Author(s)
  T.Kobayashi, and Y.Rieck
- Journal Title
  
  Topology and its Appl 156
  
  Pages: 1114-1117
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540083
[Journal Article] Knots with g(E(K))=2 and g(E(K # K # K))=6 and Morimoto's Conjecture2009
- Author(s)
  T.Kobayashi, Y.Rieck
- Journal Title
  
  Topology and its Appl. 156
  
  Pages: 1114-1117
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540082
[Journal Article] Manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings2009
- Author(s)
  T.Kobayashi, Y.Rieck
- Journal Title
  
  Communications in Analysis and Geometry 17
  
  Pages: 637-649
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540082
[Journal Article] Manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings2009
- Author(s)
  T.Kobayashi, and Y.Rieck
- Journal Title
  
  Communications in Analysis and Geometry
  
  Volume: 17 Pages: 637-649
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540082
[Journal Article] Knots with g(E(K))=2 and g(E(K #K #K))=6 and Morimoto's Conjecture2009
- Author(s)
  T. Kobayashi, Y. Rieck
- Journal Title
  
  Topology and its Appl. 156
  
  Pages: 1114-1117
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540083
[Journal Article] Seifert surfaces in open books, and a new coding algorithm for links2008
- Author(s)
  R.Furihata, T.Kobayashi, and M.Hirasawa
- Journal Title
  
  Bull. Lond. Math. Soc. 40
  
  Pages: 405-414
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540083
[Journal Article] Seifert surfaces in open books, and a new coding algthm for 1inks2008
- Author(s)
  R. Furihata, T. Kobayashi, M. Hirasawa
- Journal Title
  
  Bull. Lond. Math. Soc. 40
  
  Pages: 405-414
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540083
[Journal Article] The amalgamation of high distance Heegaard splittings is always efficient2008
- Author(s)
  T. Kobayashi, Q. Rui feng
- Journal Title
  
  Math. Ann. 341
  
  Pages: 707-715
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540083
[Journal Article] The amalgamation of high distance Heegaard splittings is always efficient2008
- Author(s)
  T.Kobayashi, and Q.Ruifeng
- Journal Title
  
  Math. Ann 341
  
  Pages: 707-715
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540083
[Journal Article] Knot exteriors with additive Heegaard genus and Morimoto's Conjecture2008
- Author(s)
  T.Kobayashi, and Y.Rieck
- Journal Title
  
  Algebraic & Geometric Topology 8
  
  Pages: 953-969
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540083
[Journal Article] Realizing pseudo-Anosov egg beaters with simple mechanisms2007
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Proceedings of the International Workshop on Knot Theory for Scientific Objects held in Osaka
  
  Pages: 97-109
- Data Source
  KAKENHI-PROJECT-19540083
[Journal Article] Realizing pseudo-Anosov egg beaters with simple mechanisms2007
- Author(s)
  T. Kobayashi, and S.Umeda
- Journal Title
  
  Proceedings of the International Workshop on Knot Theory for Scientific Objects held in Osaka
  
  Pages: 97-109
- Data Source
  KAKENHI-PROJECT-19540083
[Journal Article] On the growth rate of tunnel number of knots2006
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  J. reine angew. Math. 592
  
  Pages: 63-78
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540077
[Journal Article] Heegaard genus of the connected sum of m-small knots2006
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Communications in Analysis and Geometry 14
  
  Pages: 1037-1077
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540077
[Journal Article] On the growth rate of tunnel number of knots2006
- Author(s)
  T.Kobayashi, Y.Riek
- Journal Title
  
  Journal fur die Reine and Ang. Math. 592
  
  Pages: 63-78
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540077
[Journal Article] Heegaard genus of the connected sum of m-small knots2006
- Author(s)
  T.Kobayashi, Y.Riek
- Journal Title
  
  Communications in Analysis and Geometry 14
  
  Pages: 1037-1077
- Description
  「研究成果報告書概要(欧文)」より
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  KAKENHI-PROJECT-17540077
[Journal Article] A search method for a thin position of a link2005
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Algebr.Geom.Topol. 5
  
  Pages: 1027-1050
- Data Source
  KAKENHI-PROJECT-17540077
[Journal Article] A search method for a thin position of a link2005
- Author(s)
  T.Kobayashi, D.Heath
- Journal Title
  
  Algebr. Geom. Topol. 5
  
  Pages: 1027-1050
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540077
[Journal Article] Essential laminations and branched surfaces in the exteriors of links2005
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Japanese J.Math. 31
  
  Pages: 25-96
- Data Source
  KAKENHI-PROJECT-17540077
[Journal Article] Essential laminations and branched surfaces in the exteriors of links2005
- Author(s)
  M.Brittenham, C.Hayashi, M.Hirasawa, T.Kobayashi, K.Shimokawa
- Journal Title
  
  Japanese J. Math. 31
  
  Pages: 25-96
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540077
[Journal Article] A search method for a thin position of a link2005
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Algebr. Geom. Topol. 5
  
  Pages: 1027-1050
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540077
[Journal Article] Separating incompressible surfaces and stabilizations of Heegaard splittings2004
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Math.Proc.Cambridge Phil.Soc. 137
  
  Pages: 633-643
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] Separating incompressible surfaces and stabilizations of Heegaard splittings2004
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Math. Proc. Cambridge Phil. Soc. 137
  
  Pages: 633-643
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] Local detection of strongly irreducible Heegaard splittings via knot exteriors2004
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Topology and its Applications 138
  
  Pages: 239-251
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] Local detection of strongly irreducible Heegaard splittings via knot exteriors2004
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Topology and its Appl. 138
  
  Pages: 239-251
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] Scharlemann-Thompson untelescoping of Heegaard splittings is finer than Casson-Gordon's2003
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Jour of Knot Theory and its Ramifications 12(7)
  
  Pages: 877-891
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] Locally thin position for a link2003
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Kobe J.Math. 20
  
  Pages: 1-10
- NAID
  110001052867
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] Locally thin position for a link2003
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Kobe J. Math. 20
  
  Pages: 1-10
- NAID
  110001052867
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] Scharlemann-Thompson untelescoping of Heegaard splittings is finer than Casson-Gordon's2003
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Jour.of Knot theory and its ramification 12
  
  Pages: 877-891
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] Essential laminations and branched surfaces in the exteriors of links
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Japanese J. Math. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] On the growth rate of tunnel number of knots
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Journal fur die Reine und Ang.Math. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] Essential laminations and branched surfaces in the exteriors of links
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Japanese J. Math. (to appear)
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] On the growth rate of tunnel number of knots
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Journal fur die Reine and Ang. Math. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] On the growth rate of tunnel number of knots
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Journal fur die Reine und Ang.Math. (to appear)
- Data Source
  KAKENHI-PROJECT-15540073
[Journal Article] Essential laminations and branched surfaces in the exteriors of links
- Author(s)
  Tsuyoshi Kobayashi
- Journal Title
  
  Japanese J.Math. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540073
[Presentation] A construction of flat-foldable origami via similarity structure of 2-dimensional torus2020
- Author(s)
  小林毅、村井紘子
- Organizer
  Mathematics of quasiperiodic systems and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05249
[Presentation] サピエンス全史的視点から見たSociety 5.0の意義とポアンカレ埋め込みを用いた会話分析の紹介2019
- Author(s)
  小林毅
- Organizer
  奈良女子大学人間文化研究科複合現象科学専攻数学・物理学・情報科学の研究交流シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K05249
[Presentation] 折り紙に現れる幾つかの幾何構造について2018
- Author(s)
  小林毅
- Organizer
  奈良女子大学トポロジーセミナー
- Data Source
  KAKENHI-PROJECT-17K05249
[Presentation] 折り紙に現れる幾つかの数学構造について2017
- Author(s)
  小林毅
- Organizer
  トポロジーとコンピュータ
- Invited
- Data Source
  KAKENHI-PROJECT-17K05249
[Presentation] 折り紙の数学的な取り扱いに関する入門2016
- Author(s)
  小林毅
- Organizer
  Knotting Nagoya
- Place of Presentation
  名古屋工業大学
- Year and Date
  2016-02-16
- Invited
- Data Source
  KAKENHI-PROJECT-25400091
[Presentation] A construction of flat-foldable origami via similarity structure2015
- Author(s)
  小林毅
- Organizer
  Low dimensional topology and number theory VII
- Place of Presentation
  産学連携イノベーションプラザ九州大学
- Year and Date
  2015-03-28
- Invited
- Data Source
  KAKENHI-PROJECT-25400091
[Presentation] On keen Heegaard splitting2014
- Author(s)
  小林毅
- Organizer
  Topology and Geometry of Low-dimensional Manifolds
- Place of Presentation
  国際奈良学セミナーハウス
- Year and Date
  2014-10-27
- Invited
- Data Source
  KAKENHI-PROJECT-25400091
[Presentation] 2次元トーラスの相似構造を用いた一般化されたミウラ折りの構成2013
- Author(s)
  小林毅
- Organizer
  Spring Workshop 2013 on Low-Dimensional Topology and its Ramifications
- Place of Presentation
  名城大学名駅サテライトキャンパス
- Data Source
  KAKENHI-PROJECT-21540082
[Presentation] 2 次元トーラスの相似構造を用いた一般化されたミウラ折りの構成2013
- Author(s)
  入井美紀,小林毅
- Organizer
  Spring Workshop 2013 on Low-Dimensional Topology and its Ramifications
- Place of Presentation
  名城大学名駅サテライトキャンパス
- Year and Date
  2013-03-03
- Data Source
  KAKENHI-PROJECT-21540082
[Presentation] Heegaard splittings of distance n2013
- Author(s)
  Tsuyoshi　Kobayashi
- Organizer
  International Conference on Topology and Geometry 2013 Joint with the 6th Japan-Mexico Topology Symposium
- Place of Presentation
  島根大学
- Invited
- Data Source
  KAKENHI-PROJECT-25400091
[Presentation] On the growth rate of tunnel numbers of knots2011
- Author(s)
  T.Kobayashi
- Organizer
  Workshop on Low Dimensional Topology in Shanghai and Suzhou
- Place of Presentation
  Suzhou University, School of Mathematical Sciences(招待講演)
- Year and Date
  2011-05-17
- Data Source
  KAKENHI-PROJECT-21540082
[Presentation] On the growth rate of tunnel numbers of knots2011
- Author(s)
  小林毅
- Organizer
  Workshop on Low Dimensional Topology in Shanghai and Suzhou
- Place of Presentation
  Shanghai and Suzhou
- Year and Date
  2011-05-17
- Data Source
  KAKENHI-PROJECT-21540082
[Presentation] Toward Haken type theorems for essential laminations in 3-manifolds : Proposal of fundamental settings and applications2010
- Author(s)
  村井紘子、小林毅
- Organizer
  E-KOOKセミナー2010
- Place of Presentation
  大阪市立大学学術情報センター
- Year and Date
  2010-08-28
- Data Source
  KAKENHI-PROJECT-21540082
[Presentation] Toward Haken type theorems for essential laminations in 3-manifolds: Proposal of fundamental settings and applications2010
- Author(s)
  小林毅,村井紘子
- Organizer
  E-KOOKセミナー2010
- Place of Presentation
  大阪市立大学学術情報センター 10 階(杉本キャンパス)
- Year and Date
  2010-08-28
- Data Source
  KAKENHI-PROJECT-21540082
[Presentation] Realization problems of distances of Heegaard splittings2009
- Author(s)
  小林毅
- Organizer
  Workshop : Simplicial Complexes Arising in Low-Dimensional Topology
- Place of Presentation
  東京工業大学
- Year and Date
  2009-07-03
- Data Source
  KAKENHI-PROJECT-21540082
[Presentation] On thin presentations of 3-manifolds and links2009
- Author(s)
  小林毅
- Organizer
  Category Theory, Computer Science, and Topology
- Place of Presentation
  信州大学
- Year and Date
  2009-10-18
- Data Source
  KAKENHI-PROJECT-21540082
[Presentation] Realization problems of distances of Heegaard splittings2009
- Author(s)
  小林毅
- Organizer
  Workshop: Simplicial Complexes Arising in Low-Dimensional Topology
- Place of Presentation
  東京工業大学
- Year and Date
  2009-07-03
- Data Source
  KAKENHI-PROJECT-21540082
[Presentation] On thin presentations of 3-manifolds and links2009
- Author(s)
  小林毅
- Organizer
  Category Theory, Computer Science, and Topology
- Place of Presentation
  信州大学理学部
- Year and Date
  2009-12-18
- Data Source
  KAKENHI-PROJECT-21540082
[Presentation] Distance of knots and Morimoto' s Conjecture on the super additive phenomena of tunnel numbers of knots2007
- Author(s)
  小林毅
- Organizer
  Geometric Topology Conference
- Place of Presentation
  Peking University, Beijing
- Year and Date
  2007-06-21
- Data Source
  KAKENHI-PROJECT-19540083
[Presentation] Distance of knots and Morimoto's Conjecture on the super additive phenomena of tunnel numbers of knots2007
- Author(s)
  小林毅
- Organizer
  Geometric Topology Conference
- Place of Presentation
  Peking University, Beijing
- Year and Date
  2007-06-21
- Data Source
  KAKENHI-PROJECT-19540083
[Presentation] Realizing Topological Chaos with Simple Mechanisms2007
- Author(s)
  小林毅
- Organizer
  SIAM Conference on Applications of Dynamical Systems
- Place of Presentation
  Snowbird Ski and Summer Resort Snowbird, Utah
- Year and Date
  2007-05-31
- Data Source
  KAKENHI-PROJECT-19540083

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77. 正井秀俊 (40735734)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
78. 大山淑之 (80223981)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
79. 小島定吉 (90117705)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
80. BAKER Kenneth

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
81. FUNAKOSHI Yukari

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
82. HASHIZUME Megumi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
83. IDO Ayako

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
84. ITO Noboru

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
85. OZAWA Makoto

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
86. TAKAO Kazuto

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
87. RIECK Yo'av

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results

KOBAYASHI Tsuyoshi 小林 毅

小林 毅 コバヤシ ツヨシ

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大域構造の空間を基軸とする低次元トポロジーの研究とその応用Principal Investigator

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Development and Evolution of Low-dimensional TopologyPrincipal Investigator

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Research on 3-manifold using geometric techniques and its developmentPrincipal Investigator

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On developments and applications of Heegaard theoryPrincipal Investigator

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Research on 3-manifolds based on geometric techniques and its expansePrincipal Investigator

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Geometric structures of 3-manifolds and various related structuresPrincipal Investigator

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Research on various geometric structures on 3-manifoldsPrincipal Investigator

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Representations of 3-manifolds and geometric informations derived from themPrincipal Investigator

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KOBAYASHI Tsuyoshi 小林毅

小林毅コバヤシツヨシ