Tange Motoo 丹下基生

… Alternative Names

TANGE Motoo 丹下基生

丹下基生タンゲモトオ

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Researcher Number	70452422
Other IDs	https://orcid.org/0000-0002-7672-1184
Affiliation (Current)	2025: 筑波大学, 数理物質系, 准教授
Affiliation (based on the past Project Information) *help	2019 – 2023: 筑波大学, 数理物質系, 准教授 2012 – 2018: 筑波大学, 数理物質系, 助教 2009: 京大, 数理解析研究所, 研究員 2008: 阪大, 理学(系)研究科(研究院) 2007: Osaka University, 大学院・理学研究科, 特任研究員
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry
Keywords	Principal Investigator スライスリボン予想 / 4次元多様体 / レンズ空間手術 / ハンドル分解 / デーン手術 / レンズ空間 / ヒーゴールフレアホモロジー / ４次元多様体 / ホモロジー球面 / コルク … More / リボン結び目 / スライス結び目 / 3次元多様体 / 4次元多様体の手術 / Scharlemann manifold / correction term / outer surgery / pochette surgery / 幾何学 / 有限位数コルク / 負定値交差形式 / Lagrangian disk / 埋め込まれた曲面 / レンズ空間手術予想 / レンズ空間結び目 / 微分構造 / 有理ホモロジー4球体 / ケーブル結び目 / 異種微分構造 / L-空間 / 有理４球体 / ホモロジー３球面 / コルクツイスト / エキゾチック微分構造 / トポロジー / 最小種数 / 結び目 / Heegaard Floer homology … More Except Principal Investigator 特異点論 / レンズ空間 / divide knot / Kirby計算 / 枠付き絡み目 / デーン手術 / ４次元多様体 / ３次元多様体 / カービー計算 / 多様体 / Kirby 計算 / ディバイド表示 / トポロジー / 幾何学 / 色分け（彩色） / 周期点 / 位相エントロピー / 等長変換 / 位相空間 / 連続体 / フラクタル / 位相次元 / 色彩問題 / 連続体論 / フラクタル次元 / アトラクター / 幾何学的トポロジー / 位相力学系 / エントロピー / カオス / 彩色数 Less

Solving problems about handle decompositions of manifolds and Dehn surgeriesPrincipal Investigator
- Principal Investigator
  
  丹下基生
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of Tsukuba
Research of handle decompositions of 4-manifolds and Dehn surgeriesPrincipal Investigator
- Principal Investigator
  
  Tange Motoo
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
Surgery on 4-manifolds by exceptional Dehn surgery on 3-manifold
- Principal Investigator
  
  YAMADA Yuichi
- Project Period (FY)
  2016 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Electro-Communications
Research on low-dimensional manifold with handle diagramPrincipal Investigator
- Principal Investigator
  
  TANGE Motoo
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
Study of dynamical systems by use of general topology and geometric topology
- Principal Investigator
  
  KATO HISAO
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
Bones about 4-dimensional differential structures and about Seifert surgeriesPrincipal Investigator
- Principal Investigator
  
  TANGE Motoo
- Project Period (FY)
  2012 – 2013
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
Construction of 4-manifolds related to exceptional surgeries on 3-manifolds
- Principal Investigator
  
  YAMADA YUICHI
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Electro-Communications
フレアホモロジーの幾何学Principal Investigator
- Principal Investigator
  
  丹下基生
- Project Period (FY)
  2009
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
へーガードフレアホモロジーのデーン手術と葉層構造への応用と量子論的解釈Principal Investigator
- Principal Investigator
  
  丹下基生
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (Start-up)
- Research Field
  
  Geometry
- Research Institution
  Osaka University

[Book] 例題形式で探求する集合・位相2020
- Author(s)
  丹下　基生
- Total Pages
  216
- Publisher
  サイエンス社
- ISBN
  9784781914923
- Data Source
  KAKENHI-PROJECT-17K14180
[Journal Article] Upsilon invariants of L-space cable knots2023
- Author(s)
  Tange Motoo
- Journal Title
  
  Topology and its Applications
  
  Volume: 324 Pages: 108335-108335
- DOI
  10.1016/j.topol.2022.108335
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03216
[Journal Article] Pochette surgery of 4-sphere2023
- Author(s)
  Suzuki Tatsumasa、Tange Motoo
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 324 Issue: 2 Pages: 371-398
- DOI
  10.2140/pjm.2023.324.371
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K03216
[Journal Article] Ribbon disks with the same exterior2022
- Author(s)
  Abe Tetsuya、Tange Motoo
- Journal Title
  
  Communications in Analysis and Geometry
  
  Volume: 30 Issue: 2 Pages: 257-270
- DOI
  10.4310/cag.2022.v30.n2.a1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03216
[Journal Article] Notes on Gompf's infinite order corks2021
- Author(s)
  Motoo Tange
- Journal Title
  
  Michigan Math. J.
  
  Volume: 70 Issue: 1 Pages: 3-21
- DOI
  10.1307/mmj/1586419413
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05143, KAKENHI-PROJECT-17K14180
[Journal Article] Homology spheres with E_8-fillings and arbitrarily large correction terms2021
- Author(s)
  Motoo Tange
- Journal Title
  
  Indiana Univ. Math. J
  
  Volume: 70 Pages: 985-1002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14180
[Journal Article] Homology spheres with E8-fillings and arbitrarily large correction terms2021
- Author(s)
  Motoo Tange
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: 70 Pages: 985-1002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03216
[Journal Article] Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots2021
- Author(s)
  Li Youlin、Tange Motoo
- Journal Title
  
  Geometriae Dedicata
  
  Volume: 213 Issue: 1 Pages: 211-225
- DOI
  10.1007/s10711-020-00575-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03216
[Journal Article] The third term in lens surgery polynomials2021
- Author(s)
  Motoo Tange
- Journal Title
  
  Hiroshima Math. J.
  
  Volume: 51(1) Issue: 1 Pages: 101-109
- DOI
  10.32917/h2020050
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05143, KAKENHI-PROJECT-17K14180
[Journal Article] Homology spheres with E8-fillings and arbitrarily large correction terms2020
- Author(s)
  Motoo Tange
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14180
[Journal Article] Boundary-sum irreducible finite order corks2020
- Author(s)
  Motoo Tange
- Journal Title
  
  Kobe Journal of Math.
  
  Volume: 37 Pages: 19-31
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14180
[Journal Article] On the Alexander polynomial of lens space knots2020
- Author(s)
  Tange Motoo
- Journal Title
  
  Topology and its Applications
  
  Volume: 275 Pages: 107124-107124
- DOI
  10.1016/j.topol.2020.107124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14180
[Journal Article] Notes on Gompf's infinite order corks2020
- Author(s)
  Motoo Tange
- Journal Title
  
  Michigan Mathematical Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14180
[Journal Article] Notes on Gompf's infinite order corks2019
- Author(s)
  Motoo Tange
- Journal Title
  
  Michigan Math Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14180
[Journal Article] Homology spheres yielding lens spaces2018
- Author(s)
  Motoo Tange
- Journal Title
  
  Proceedings of the Gokova Geometry-Topology conference
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14180
[Journal Article] Ribbon disks with the same exterior2018
- Author(s)
  Tetsuya Abe, Motoo Tange
- Journal Title
  
  Communications in Analysis and Geometry
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14180
[Journal Article] Homology spheres yielding lens spaces2018
- Author(s)
  Motoo Tange
- Journal Title
  
  Proceedings of Gokova Geometry / Topology conference 2017
  
  Volume: 2017 Pages: 73-121
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14180
[Journal Article] Heegaard Floer homology of Matsumoto's manifolds2017
- Author(s)
  Motoo Tange
- Journal Title
  
  Advances in Mathematics
  
  Volume: 320 Pages: 475-499
- DOI
  10.1016/j.aim.2017.08.013
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14180, KAKENHI-PROJECT-26800031
[Journal Article] Finite order corks2017
- Author(s)
  Motoo Tange
- Journal Title
  
  Int. J. Math.
  
  Volume: 28 Issue: 06 Pages: 26-26
- DOI
  10.1142/s0129167x17500343
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800031
[Journal Article] Four-dimensional manifolds constructed by lens space surgeries of distinct types2017
- Author(s)
  Motoo Tange and Yuichi Yamada
- Journal Title
  
  J. of Knot Theory and its Ramifications
  
  Volume: 26 No.11 Issue: 11 Pages: 1750069-1750069
- DOI
  10.1142/s0218216517500699
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05143, KAKENHI-PROJECT-17K14180, KAKENHI-PROJECT-26400083
[Journal Article] A construction of slice knots via annulus twists2016
- Author(s)
  Tetsuya Abe, Motoo Tange
- Journal Title
  
  Michigan Math. J.
  
  Volume: 65 Pages: 573-597
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26800031
[Journal Article] Introduction to Heegaard Floer homology2016
- Author(s)
  Motoo Tange
- Journal Title
  
  RIMS kokyuroku
  
  Volume: 2004 Pages: 57-76
- Open Access
- Data Source
  KAKENHI-PROJECT-26800031
[Journal Article] The E8-boundings of homology spheres and negative sphere classes in E(1)2016
- Author(s)
  Motoo Tange
- Journal Title
  
  Topology and its applications
  
  Volume: 202 Pages: 160-182
- DOI
  10.1016/j.topol.2015.12.067
- NAID
  120007135515
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26800031
[Journal Article] A construction of slice knots via annulus twists2016
- Author(s)
  Tetsuya Abe, Motoo Tange
- Journal Title
  
  Michigan Mathematical Journal
  
  Volume: 65
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26800031
[Journal Article] The E8-boundings of homology spheres and negative sphere classes in E(1).2016
- Author(s)
  Motoo Tange
- Journal Title
  
  Topology Appl.
  
  Volume: 202 Pages: 160-182
- NAID
  120007135515
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26800031
[Journal Article] Non-orientable genus of a knot in punctured CP22015
- Author(s)
  Kouki Sato, Motoo Tange
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 38 Issue: 2 Pages: 561-574
- DOI
  10.3836/tjm/1452806057
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26800031, KAKENHI-PROJECT-15J10597
[Journal Article] Four dimensional manifolds constructed by lens space surgeries2015
- Author(s)
  丹下基生，山田裕一
- Journal Title
  
  日本数学会2015年度秋期総合文化会トポロジー分科会講演アブストラクト
  
  Pages: 21-22
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540070
[Journal Article] A plug with infinite order and some exotic structures2015
- Author(s)
  Motoo Tange
- Journal Title
  
  Journal of Gokova Geometry Topology
  
  Volume: 9 Pages: 1-17
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26800031
[Journal Article] The link surgery of S2 x S2 and Scharlemann's manifolds2014
- Author(s)
  Motoo Tange
- Journal Title
  
  Hiroshima Math. Journal
  
  Volume: 44 Issue: 1 Pages: 35-62
- DOI
  10.1215/s0012-7094-76-04304-0
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26800031
[Journal Article] The link surgery of S2 x S2 and Scharlemann's manifolds2014
- Author(s)
  Motoo Tange
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 1 Pages: 35-62
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840006
[Journal Article] The link surgery of S2× S2and Scharlemann's manifolds2014
- Author(s)
  Motoo Tange
- Journal Title
  
  Hiroshima, Math.J.
  
  Volume: 44, no.1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840006
[Journal Article] On Nash's 4-sphere and Property 2R2013
- Author(s)
  Motoo Tange
- Journal Title
  
  Turkish journal of mathematics
  
  Volume: 37 Pages: 360-374
- DOI
  10.3906/mat-1104-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840006
[Journal Article] Omae's knot and 12a990 are ribbon (Proceeding of Intelligence of Low-dimensional Topology at RIMS)2012
- Author(s)
  Tetsuya Abe, and Motoo Tange
- Pages
  34-42
- Data Source
  KAKENHI-PROJECT-24840006
[Journal Article] Four-dimensional manifolds constructed by lens space surgeries along torus knots2012
- Author(s)
  M. Tange, Y. Yamada
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 21 Issue: 11 Pages: 1-65
- DOI
  10.1142/s0218216512501118
- NAID
  120007137182
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540079, KAKENHI-PROJECT-24540070, KAKENHI-PROJECT-24840006
[Journal Article] Omae's knot and 12a990 are ribbon2012
- Author(s)
  Tetsuya Abe, Motoo Tange
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 1812 Pages: 34-42
- Data Source
  KAKENHI-PROJECT-24840006
[Journal Article] Four-dimensional manifolds constructed by lens space surgeries along torus knots2012
- Author(s)
  Tange Motoo, and Yamada Yuichi
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 21, no.11, 1250111 Pages: 65-65
- NAID
  120007137182
- URL
  https://www.tulips.tsukuba.ac.jp/dspace/handle/2241/117937
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] Lens space surgeries on homology spheres of λ = －2, －32024
- Author(s)
  Motoo Tange
- Organizer
  The 19th East Asian Conference on Geometric Topology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03216
[Presentation] 4次元多様体上のPa,b-surgery2024
- Author(s)
  鈴木龍正・丹下基生
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-21K03216
[Presentation] コルクの基礎とその応用〜ショートコース〜2024
- Author(s)
  丹下基生
- Organizer
  微分トポロジー'24
- Data Source
  KAKENHI-PROJECT-21K03216
[Presentation] Scharlemann manifolds and pochette surgery2023
- Author(s)
  Motoo Tange
- Organizer
  The 18th East Asian Conference on Geometric Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03216
[Presentation] Pochette surgery on S42022
- Author(s)
  Motoo Tange
- Organizer
  The 17th East Asian Conference on Geometric Topology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] Pochette surgery on S42022
- Author(s)
  丹下基生, 鈴木龍正
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-21K03216
[Presentation] Pochette surgery on S42022
- Author(s)
  Motoo Tange
- Organizer
  The 17th East Asian Conference on Geometric Topology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03216
[Presentation] レンズ空間実現問題2022
- Author(s)
  丹下基生
- Organizer
  微分トポロジー'22
- Data Source
  KAKENHI-PROJECT-21K03216
[Presentation] Pochette surgery on S42022
- Author(s)
  丹下基生, 鈴木龍正
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] レンズ空間実現問題2022
- Author(s)
  丹下基生
- Organizer
  微分トポロジー'22
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] 接続のなす多様体2021
- Author(s)
  丹下基生
- Organizer
  微分トポロジー'21
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] The third term in lens surgery polynomials2021
- Author(s)
  丹下基生
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-21K03216
[Presentation] The third term in lens surgery polynomials2021
- Author(s)
  丹下基生
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] The third term in lens surgery polynomials2020
- Author(s)
  丹下基生
- Organizer
  結び目の数理III
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] Lens space knot polynomials and genus-2 Heegaard splitting of S32020
- Author(s)
  Motoo Tange
- Organizer
  Mini-Symposium : Knot Theory on Okinawa
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] コルクの性質とその応用2020
- Author(s)
  丹下基生
- Organizer
  4-diimensional topology and gauge theory
- Invited
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] 4-dimensional light bulb theorem by Gabai I2019
- Author(s)
  Motoo Tange
- Organizer
  Differential Topology 19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] Handle decompositions for slice disks and moves2019
- Author(s)
  Motoo Tange
- Organizer
  Lefschetz Pencils and Low dimensional Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] Homology spheres yielding lens spaces2018
- Author(s)
  Motoo Tange
- Organizer
  MIST 2018: Workshop on Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] On ribbon disks in handle decompositions2018
- Author(s)
  Motoo Tange
- Organizer
  Four Dimensional Topology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] Ribbon disk diagrams in handle decomposition of B42018
- Author(s)
  Motoo Tange
- Organizer
  Mini-workshp on Low Dimensional Topology,
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] E8交差形式をもつ4次元多様体とcorrection term2018
- Author(s)
  丹下基生
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] Cork twistings and exotic 4-manifolds2017
- Author(s)
  Motoo Tange
- Organizer
  Gokova Geometry-Topology conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14180
[Presentation] Introduction to Heegaard Floer homology2017
- Author(s)
  丹下基生
- Organizer
  研究集会「微分トポロジー17」
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] スライスリボン予想とハンドルスライド2017
- Author(s)
  安部哲哉、丹下基生
- Organizer
  日本数学会年会
- Place of Presentation
  東京都八王子市首都大学
- Year and Date
  2017-03-26
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Introduction of Heegaard Floer homology2017
- Author(s)
  丹下基生
- Organizer
  研究集会「微分トポロジー17」
- Place of Presentation
  東京都調布市電気通信大学
- Year and Date
  2017-03-28
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Cork twistings and exotic 4-manifolds2017
- Author(s)
  Motoo Tange
- Organizer
  研究集会「微分トポロジー17」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] スライスリボン予想とハンドルスライド2017
- Author(s)
  丹下基生
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Introduction to Heegaard Floer homology2016
- Author(s)
  Motoo Tange
- Organizer
  研究集会 Intelligence of low-dimensional Topology
- Place of Presentation
  京都大学数理解析研究所（京都府京都市）
- Year and Date
  2016-05-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Infinite order corks2016
- Author(s)
  丹下基生
- Organizer
  研究集会「４次元トポロジー」
- Place of Presentation
  大阪府大阪市大阪市立大学
- Year and Date
  2016-11-27
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] 無限位数コルクについて2016
- Author(s)
  丹下基生
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪府吹田市関西大学
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Ribbon disks via handle decompositions of B42016
- Author(s)
  Abe Tetsuya, Motoo Tange
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-03-18
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Introduction of Heegaard Floer homology2016
- Author(s)
  丹下基生
- Organizer
  研究集会 Intelligence of low-dimensional Topology
- Place of Presentation
  京都府京都市京都大学数理解析研究所
- Year and Date
  2016-05-19
- Invited
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] 有限位数コルクについて2016
- Author(s)
  Motoo Tange
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-03-18
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Upsilon-invariants and Alexander polynomials of torus knots2016
- Author(s)
  丹下基生
- Organizer
  結び目の数学IX
- Place of Presentation
  東京都世田谷区日本大学
- Year and Date
  2016-12-20
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Cork twist and infinite exotic families2016
- Author(s)
  Motoo Tange
- Organizer
  Conference on 4-manifolds and knot concordance
- Place of Presentation
  ドイツボン市マックスプランク研究所
- Year and Date
  2016-10-20
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] ある結び目のWhitehead doubleの二重分岐被覆を境界とする有理4球体2016
- Author(s)
  Motoo Tange
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-03-18
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Double branched covers and rational homology balls2015
- Author(s)
  Motoo Tange
- 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
  2015-11-21
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Double branched covers and rational 4-ball bounds2015
- Author(s)
  丹下基生
- Organizer
  瀬戸内結び目セミナー
- Place of Presentation
  大島商船高等専門学校（山口県大島郡周防大島町）
- Year and Date
  2015-09-05
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] L-空間ホモロジー球面内のレンズ空間手術の分類2015
- Author(s)
  丹下基生
- Organizer
  微分トポロジー15
- Place of Presentation
  京都大学
- Year and Date
  2015-03-26
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] Four dimensional manifolds constructed by lens space surgeries2015
- Author(s)
  丹下　基生，山田　裕一
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  京都産業大学（京都府京都市北区）
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-24540070
[Presentation] レンズ空間結び目のAlexander 多項式の係数に関する横断性定理2015
- Author(s)
  丹下基生
- Organizer
  日本数学会年会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-24
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] レンズ空間結び目のアレクサンダー多項式2014
- Author(s)
  丹下基生
- Organizer
  結び目の数学VII
- Place of Presentation
  東京女子大学
- Year and Date
  2014-12-25
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] 不定値偶形式をもつ４次元多様体とその境界2014
- Author(s)
  丹下基生
- Organizer
  ４次元のトポロジー
- Place of Presentation
  大阪市立大学
- Year and Date
  2014-11-23
- Data Source
  KAKENHI-PROJECT-26800031
[Presentation] スライス円盤が作るあるグラフとその変形2013
- Author(s)
  安部哲哉, 丹下基生
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] −E8を交差形式とする4次元多様体の境界となるホモロジー球面2013
- Author(s)
  丹下基生
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] Lens space surgery and a classification2013
- Author(s)
  丹下基生
- Organizer
  The 9th East Asian School of Knots and Related Topics
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] Primitive/Seifert knots in the Poincar'e homology spheres2012
- Author(s)
  丹下基生
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-20
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] Omae's knot and 12a990 are ribbon2012
- Author(s)
  安部哲哉, 丹下基生
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-20
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] Annulus twist of a knot and log transform2012
- Author(s)
  丹下基生
- Organizer
  研究集会「4次元トポロジー」
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] レンズ空間の中のsimple knotから得られるホモロジー球面2008
- Author(s)
  丹下基生
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-19840029
[Presentation] Non-existence of L-space surgery2007
- Author(s)
  丹下基生
- Organizer
  日本数学会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-19840029
[Presentation] スライス円盤が作るあるグラフとその変形
- Author(s)
  丹下基生
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] Knot concordance invariants coming from Floer homology
- Author(s)
  Motoo Tange
- Organizer
  Mini-workshop on knot concordance
- Place of Presentation
  東京工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] -E8 を交差形式とする4次元多様体の境界となるホモロジー球面
- Author(s)
  丹下基生
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] Annulus twist of a knot and log transform
- Author(s)
  Motoo Tange
- Organizer
  研究集会「４次元トポロジー」
- Place of Presentation
  広島大学（広島県）
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] 4-manifolds constructed by lens space surgeries
- Author(s)
  丹下基生, 山田裕一
- Organizer
  研究集会「４次元トポロジー」
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-24540070
[Presentation] Lens space surgery and a classification
- Author(s)
  Motoo Tange
- Organizer
  The 9th East Asian School of Knots and Related Topics
- Place of Presentation
  東京大学（東京都）
- Data Source
  KAKENHI-PROJECT-24840006
[Presentation] Primitive/Seifert knots in the Poincar\'e homology spheres
- Author(s)
  丹下基生
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学（福岡県）
- Data Source
  KAKENHI-PROJECT-24840006

1. ABE Tetsuya (00614009)

# of Collaborated Projects: 2 results

# of Collaborated Products: 4 results
2. YAMADA Yuichi (30303019)

# of Collaborated Projects: 2 results

# of Collaborated Products: 5 results
3. 山口耕平 (00175655)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. KATO HISAO (70152733)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. KAWAMURA Kazuhiro (40204771)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. ISHII Atsushi (00531451)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Tange Motoo 丹下 基生

TANGE Motoo 丹下 基生

丹下 基生 タンゲ モトオ

Research Projects

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Solving problems about handle decompositions of manifolds and Dehn surgeriesPrincipal Investigator

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Research of handle decompositions of 4-manifolds and Dehn surgeriesPrincipal Investigator

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Surgery on 4-manifolds by exceptional Dehn surgery on 3-manifold

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Research on low-dimensional manifold with handle diagramPrincipal Investigator

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Study of dynamical systems by use of general topology and geometric topology

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Bones about 4-dimensional differential structures and about Seifert surgeriesPrincipal Investigator

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Construction of 4-manifolds related to exceptional surgeries on 3-manifolds

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フレアホモロジーの幾何学Principal Investigator

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へーガードフレアホモロジーのデーン手術と葉層構造への応用と量子論的解釈Principal Investigator

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[Book] 例題形式で探求する集合・位相2020

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[Journal Article] Upsilon invariants of L-space cable knots2023

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[Journal Article] Pochette surgery of 4-sphere2023

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[Journal Article] Ribbon disks with the same exterior2022

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Tange Motoo 丹下基生

TANGE Motoo 丹下基生

丹下基生タンゲモトオ