SHIMA AKIKO 志摩亜希子

… Alternative Names

Shima Akiko 志摩亜希子

SHIMA Akiko 志摩亜希子

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Researcher Number	50317765
Other IDs
Affiliation (Current)	2025: 東海大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2017 – 2024: 東海大学, 理学部, 教授 2014 – 2015: 東海大学, 理学部, 教授 2007 – 2013: Tokai University, School of Science, Associated Professor 2003 – 2006: Tokai University, School of Science, Assistant Professor, 理学部, 助教授 2001 – 2002: 東海大学, 理学部, 講師 2000: 東海大学, 理学部・数学科, 講師
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry / Geometry Except Principal Investigator Geometry
Keywords	Principal Investigator chart / surface link / crossing / surface braid / surface knot / チャート / 曲面結び目 / quandle / triple point / トポロジー … More / white vertex / 不変量 / 曲面絡み目 / coloring / topology / bigon / minimal / 結び目曲面 / 3重点 / 交差 / 白頂点 / 位相幾何 … More Except Principal Investigator モノドロミー / 結び目 / 量子トポロジー / 低次元トポロジー / ３次元多様体 / 不変量 / 3次元多様体 / Riemann surface / Lefschetz fibration / signature / 4-manifolds / フラックス予想 / シンプレクティック幾何 / 局所符号数 / 退化 / 初等手術理論 / チャート理論 / 正則ファイバー空間 / リーマン面 / レフシェツ・ファイバー空間 / 符号数 / 4次元多様体 / 対称カンドル / 4次元 / バイカンドル / 4次元トポロジー / ４次元トポロジー / 曲面結び目 / チャート / レフシェツ・ファイバー束 / カンドル / グラフィクス / ４次元 / トポロジー Less

Research about quande cocycle invariants and chart movesPrincipal Investigator
- Principal Investigator
  
  志摩亜希子
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokai University
Research of chart moves by using computer effectivelyPrincipal Investigator
- Principal Investigator
  
  Shima Akiko
- Project Period (FY)
  2021 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokai University
Theory of transformations of chartsPrincipal Investigator
- Principal Investigator
  
  Shima Akiko
- Project Period (FY)
  2018 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokai University
Quantum Topology of knots and 3-manifolds
- Principal Investigator
  
  Ohtsuki Tomotada
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
A research of surface-links by using chartsPrincipal Investigator
- Principal Investigator
  
  Shima Akiko
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokai 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
A Classification of Minimal ChartsPrincipal Investigator
- Principal Investigator
  
  SHIMA Akiko
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokai University
Geometry and topology of 4-manifolds
- Principal Investigator
  
  MATSUMOTO Yukio
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  University of Tokyo
Relations about geometric characteristics of surface knots and invariantsPrincipal Investigator
- Principal Investigator
  
  SHIMA Akiko
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokai University
State-Sum Iwarlants of Surface-knot in 4-spacePrincipal Investigator
- Principal Investigator
  
  SHIMA Akiko
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  TOKAI UNIVERSITY

[Journal Article] Distinguishing surface-links described by 4-charts with two crossings and eight black vertices2023
- Author(s)
  Nagase Teruo、Shima Akiko
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 32 Issue: 13
- DOI
  10.1142/s021821652350092x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03255
[Journal Article] Properties of minimal charts and their applications IX: charts of type (4,3)2023
- Author(s)
  Nagase Teruo、Shima Akiko
- Journal Title
  
  Indagationes Mathematicae
  
  Volume: 34 Issue: 4 Pages: 673-723
- DOI
  10.1016/j.indag.2023.01.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03255
[Journal Article] Properties of minimal charts and their applications VIII: Charts of type (7)2022
- Author(s)
  Teruo Nagase and Akiko Shima
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: - Issue: 02
- DOI
  10.1142/s0218216522500079
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03255
[Journal Article] Properties of minimal charts and their applications VIII: Charts of type (7)2022
- Author(s)
  Nagase Teruo、Shima Akiko
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 31 Issue: 03
- DOI
  10.1142/s0218216522500171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03255
[Journal Article] Properties of minimal charts and their applications VII: Charts of type (2,3,2)2020
- Author(s)
  Nagase Teruo、Shima Akiko
- Journal Title
  
  Topology and its Applications
  
  Volume: 284 Pages: 107365-107365
- DOI
  10.1016/j.topol.2020.107365
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03309
[Journal Article] Properties of minimal charts and their applications VI: the graph Γm+1 in a chart Γ of type (m; 2; 3; 2)2020
- Author(s)
  Nagase Teruo、Shima Akiko
- Journal Title
  
  J. Math. Sci. Univ. Tokyo
  
  Volume: 27
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03309
[Journal Article] The structure of a minimal n-chart with two crossings II2019
- Author(s)
  Nagase Teruo、Shima Akiko
- Journal Title
  
  Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
  
  Volume: 113 Issue: 3 Pages: 1693-1738
- DOI
  10.1007/s13398-018-0573-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03309
[Journal Article] Properties of minimal charts and their applications V: Charts of type (3,2,2)2019
- Author(s)
  Nagase Teruo、Shima Akiko
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 28 Issue: 14 Pages: 1950084-1950084
- DOI
  10.1142/s0218216519500846
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03309
[Journal Article] The structure of a minimal n-chart with two crossings I: Complementary domains of Γ1 ∪ Γn-12018
- Author(s)
  Nagase Teruo、Shima Akiko
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 27 Issue: 14 Pages: 1850078-1850078
- DOI
  10.1142/s0218216518500785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03309
[Journal Article] Minimal charts2018
- Author(s)
  Nagase Teruo、Shima Akiko
- Journal Title
  
  Topology and its Applications
  
  Volume: 241 Pages: 291-332
- DOI
  10.1016/j.topol.2018.04.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03309
[Journal Article] Gambits in charts2015
- Author(s)
  Teruo Nagase and Akiko Shima
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 24 Issue: 09 Pages: 1550052-1550052
- DOI
  10.1142/s0218216515500522
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540107
[Journal Article] The closures of surface braids obtained from minimal n-charts with four white vertices2013
- Author(s)
  Teruo Nagase, Akiko Shima and Hiroshi Tuji
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 22 Issue: 02 Pages: 1-23
- DOI
  10.1142/s0218216513500077
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540107
[Journal Article] On charts with two crossings II2012
- Author(s)
  Teruo Nagase and Akiko Shima
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 49 Pages: 909-929
- NAID
  120005986488
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540107
[Journal Article] Minimal n-charts with four white vertices2011
- Author(s)
  Teruo Nagase and Akiko Shima
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 20 Pages: 689-711
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540107
[Journal Article] There no exists minimal charts of type (2,2,2)2011
- Author(s)
  Teruo Nagase, Nemoto Daisuke, Akiko Shima
- Journal Title
  
  Proceedings of the School of Science 46
  
  Pages: 1-31
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] There no exists minimal charts of type (2,2,2)2011
- Author(s)
  Teruo Nagase, Nemoto Daisuke, Akiko Shima
- Journal Title
  
  Proceedings of the School of Science
  
  Volume: 46 Pages: 1-31
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] Properties of Minimal Charts and Their Applications III2010
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  Tokyo Journal of Mathematics 13
  
  Pages: 373-392
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] Properties of Minimal Charts and Their Applications III2010
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 13 Pages: 373-392
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] Any chart with at most one crossing is a ribbon chart2010
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  Topology and its Applications 157
  
  Pages: 1703-1720
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] On charts with two crossings I : There exist no NS-tangles in a minimal chart2010
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  J.Math.Sci.Univ.Tokyo
  
  Volume: 17 Pages: 217-241
- NAID
  120006906054
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] On charts with two crossings I : There exist no NS-tangles in a minimal chart2010
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  J.Math.Sci.Univ.Tokyo 17
  
  Pages: 217-241
- NAID
  120006906054
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] Any chart with at most one crossing is a ribbon chart2010
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  Topology and its Applications
  
  Volume: 157 Pages: 1703-1720
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] Properties of minimal charts and their applications II2009
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  Hiroshima Mathematical Journal 39
  
  Pages: 1-35
- NAID
  110007014251
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] Properties of minimal charts and their applications I2007
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  Journal of Mathematical Sciences, the University of Tokyo 14
  
  Pages: 69-97
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] Properties of minimal charts and their applications I2007
- Author(s)
  Teruo Nagase and Akiko Shima
- Journal Title
  
  Journal of Mathematical Sciences, the University of Tokyo 14
  
  Pages: 69-97
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] Properties of minimal charts and their applications I2007
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Journal Title
  
  Journal of Mathematical Sciences, the University of Tokyo 16
  
  Pages: 69-97
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] Properties of minimal charts and the their applications I2007
- Author(s)
  Teruo Nagase and Akiko Shima
- Journal Title
  
  Journal of Mathematical Sciences, the University of Tokyo 14
  
  Pages: 69-97
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] On suface braid of index four with at most two crossings2005
- Author(s)
  Teruo Nagase and Akiko Shima
- Journal Title
  
  Fundamenta Mathematicae 188
  
  Pages: 167-193
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] There exists no minimal n-chart with five white vertices2005
- Author(s)
  Michtaka Ochai, Teruo Nagase and Akiko Shima
- Journal Title
  
  Proc.Schl.Sci.TOKAIUNiV 40
  
  Pages: 1-18
- NAID
  110004597174
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] Triple point numbers and quandle cocyle invariants of knotted sufaces in4-space2005
- Author(s)
  Shin Satoh and Akiko Shima
- Journal Title
  
  New Zealand Jornal of Matehmaticas 34
  
  Pages: 71-79
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] Triple point numbers and quandle cocycle invarinats of knotted surfaces in 4-space2005
- Author(s)
  Shin Satoh, Akiko Shima
- Journal Title
  
  New Zealand Jornal of Mathematicas 34
  
  Pages: 71-79
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] On surface braid of index four with at most two crossings2005
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Journal Title
  
  Fundamenta Mathematicae 188
  
  Pages: 167-193
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] Triple point numbers and quandle cocycle invariants of knotted surfaces in 4-space2005
- Author(s)
  Shin, Satoh, Akiko, Shima
- Journal Title
  
  New Zealand Jornal of Mathematicas 34
  
  Pages: 71-79
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] On surface braid of index four with at most two crossings2005
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  Fundamenta Mathematicae 188
  
  Pages: 167-193
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] There exists no minimal n-chart with five white vertices2005
- Author(s)
  Michtaka, Ochai, Teruo, Nagase, Akiko, Shima
- Journal Title
  
  Proc. Schl. Sci. TOKAI UNIV 40
  
  Pages: 1-18
- NAID
  110004597174
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] Any chart with at most one crossing is a ribbon chart
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  Topology and its applications (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] Triple point numbers and quandle cocycle invariants of knotted surfaces in 4-snace
- Author(s)
  Shin Satoh, Akiko Shima
- Journal Title
  
  New Zealand Journal of Mathematics
- Data Source
  KAKENHI-PROJECT-16540082
[Journal Article] Minimal n-charts with four white vertices
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  Journal of Knot Theory and its Ramifications (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] Properties of minimal charts and their applications III
- Author(s)
  Teruo Nagase, Akiko Shima
- Journal Title
  
  Tokyo Journal of Mathematics (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] Minimal n-charts with four white vertices
- Author(s)
  Satoru Ishida, Teruo Nagase, Akiko Shima
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] Minimal n-charts with four white vertices
- Author(s)
  Satoru Ishida, Teruo Nagase, Akiko Shima
- Journal Title
  
  Journal of Knot Theory and Its Ramifications (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540093
[Journal Article] There exists no minimal n-chart with five white vertices
- Author(s)
  Michtaka Ochai, Teruo Nagase, Akiko shima
- Journal Title
  
  Proc.Schl.Sci.TOKAI UNIV.
- NAID
  110004597174
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Distinguishing surface-links described by 4-charts with 2 crossings and 8 black vertices2024
- Author(s)
  志摩亜希子
- Organizer
  カンドルと対称空間
- Data Source
  KAKENHI-PROJECT-21K03255
[Presentation] Distinguishing surface-links described by 4-charts with 2 crossings and 8 black vertices2023
- Author(s)
  志摩亜希子
- Organizer
  ４次元トポロジー
- Data Source
  KAKENHI-PROJECT-21K03255
[Presentation] There is no minimal chart of type (2,3,2)2020
- Author(s)
  志摩亜希子
- Organizer
  ひねる代数～Hurwitz action とその周辺～
- Data Source
  KAKENHI-PROJECT-18K03309
[Presentation] There is no minimal chart of type (2,3,2)2019
- Author(s)
  志摩亜希子
- Organizer
  五箇山トポロジー・幾何セミナー2019
- Data Source
  KAKENHI-PROJECT-18K03309
[Presentation] Minimal 4-charts with two crossings2018
- Author(s)
  志摩亜希子
- Organizer
  玉原トポロジー・幾何セミナー2018
- Data Source
  KAKENHI-PROJECT-18K03309
[Presentation] The structure of a minimal n-chart with two crossings2018
- Author(s)
  Akiko Shima
- Organizer
  Four Dimensional Topology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03309
[Presentation] Properties of CS-minimal charts2016
- Author(s)
  永瀬輝男、志摩亜希子
- Organizer
  The 11th East Asian School of Knots and Related Topics
- Place of Presentation
  大阪市立大学(日本)
- Year and Date
  2016-01-26
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] CS-minimal chart の性質について2016
- Author(s)
  永瀬輝男、志摩亜希子
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学(茨城県)
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] C-minimal 5-charts with four crossings2015
- Author(s)
  永瀬輝男、志摩亜希子
- Organizer
  2015年度秋季総合トポロジー分科会
- Place of Presentation
  京都産業大学(京都府)
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] CS-minimal charts with exactly six white vertices2015
- Author(s)
  永瀬輝男、志摩亜希子
- Organizer
  ４次元トポロジー
- Place of Presentation
  大阪市立大学(大阪府)
- Year and Date
  2015-11-22
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] 5-charts with four crossings2014
- Author(s)
  志摩亜希子、永瀬輝男
- Organizer
  多様体のトポロジーの展望
- Place of Presentation
  東京大学大学院数理科学研究
- Year and Date
  2014-11-30
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] There does not exist any 4-minimal 4-chart with four crossings representing spheres2013
- Author(s)
  Teruo Nagase and Akiko Shima
- Organizer
  Hurwitz action とその周辺
- Place of Presentation
  群馬大学
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] crossing を４つ含む 4-chart について2013
- Author(s)
  志摩亜希子、永瀬輝男
- Organizer
  日本数学会2013年度秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] Crossing を４つ含む linear 4-chart について2012
- Author(s)
  Teruo Nagase and Akiko Shima
- Organizer
  日本数学会2012年度年会トポロジー分科会
- Place of Presentation
  東京理科大学
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] Suspicious minimal 4-charts with four crossings2012
- Author(s)
  Teruo Nagase and Akiko Shima
- Organizer
  ４次元トポロジー
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] Linear 4-charts with four crossings2012
- Author(s)
  Teruo Nagase and Akiko Shima
- Organizer
  The 8th East Asian School of Knots, Links and Related Topics in Geometric Topology
- Place of Presentation
  KAIST
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] 4-charts with four crossings2011
- Author(s)
  Teruo Nagase and Akiko Shima
- Organizer
  ４次元トポロジー
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-23540107
[Presentation] On the crossings in minimal charts2010
- Author(s)
  Teruo Nagase, Akiko Shima
- Organizer
  International Conference on Analysis and Applications
- Place of Presentation
  Sultan Qaboos University, Akiko Shima
- Year and Date
  2010-01-25
- Data Source
  KAKENHI-PROJECT-20540093
[Presentation] Crossingを3つ含むchartについて2010
- Author(s)
  Teruo Nagase, Akiko Shima
- Organizer
  日本数学会2010年度年会
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-20540093
[Presentation] On the crossings in minimal charts2010
- Author(s)
  Teruo Nagase, Akiko Shima
- Organizer
  International Conference on Analysis and Applications
- Place of Presentation
  Sultan Qaboos University
- Year and Date
  2010-01-25
- Data Source
  KAKENHI-PROJECT-20540093
[Presentation] On charts with three crossings2009
- Author(s)
  Teruo Nagase, Akiko Shima
- Organizer
  4次元のトポロジー
- Place of Presentation
  広島大学
- Year and Date
  2009-01-28
- Data Source
  KAKENHI-PROJECT-20540093
[Presentation] On charts with three corssings2009
- Author(s)
  Teruo Nagase, Akiko Shima
- Organizer
  4次元のトポロジー
- Place of Presentation
  広島大学
- Year and Date
  2009-01-28
- Data Source
  KAKENHI-PROJECT-20540093
[Presentation] 三重点数4の3彩色可能な2次元結び目について2008
- Author(s)
  志摩亜希子, 佐藤進, 屋代司
- Organizer
  日本数学会年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] On charts containing two crossings2008
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  Conference of the Mathematical Society of Japan
- Place of Presentation
  Kinki University
- Year and Date
  2008-03-23
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] On charts with two crossings2008
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  The 4th East Asian School of Knots, Links and Related Topics
- Place of Presentation
  東京大学
- Year and Date
  2008-01-22
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] On charts with two crossings2008
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  The 4th East Asian School of Knots, Links and Related Topics
- Place of Presentation
  The University of Tokyo
- Year and Date
  2008-06-22
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] On charts with two crossings2008
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  4-dimensinal topology
- Place of Presentation
  Hiroshima University
- Year and Date
  2008-02-06
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Cross が2つのchartについて2008
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  4次元トポロジ
- Place of Presentation
  広島大学
- Year and Date
  2008-02-06
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Crossing を2つ含むチャートについて2008
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  日本数学会年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] crossing が2つの chart について2008
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  4次元トポロジー
- Place of Presentation
  広島大学
- Year and Date
  2008-02-06
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Crossingを2つ含むチャートについて2008
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  日本数学会年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] On tricolorable 2-knots with four triple points2008
- Author(s)
  Shin, Sato, Akiko, Shima, Tukasa, Yashiro
- Organizer
  Conference of the Mathematical Society of Japan
- Place of Presentation
  Kinki University
- Year and Date
  2008-03-23
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] On surface braids represented by charts with two crossings2007
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  Knotting Mathematics and ArtInternational Conference in Low Dimensional Topology and Mathematical Art
- Place of Presentation
  University of South Florida
- Year and Date
  2007-11-02
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] On surface braids represented by charts with two crossings2007
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  Knotting Mathematics and Art
- Place of Presentation
  University of South Florida
- Year and Date
  2007-11-02
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Separations of charts2007
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  4-dimensinal topology
- Place of Presentation
  Hiroshima University
- Year and Date
  2007-06-30
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] On surface braids represented by charts with two crossings2007
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  Knotting Mathematics and Art: International Conference in Low Dimensional Topology and Mathematical Art
- Place of Presentation
  University of South Florida
- Year and Date
  2007-11-02
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] チャートの分解2007
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  4次元トポロジー
- Place of Presentation
  広島大学
- Year and Date
  2007-01-30
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Study of surface knots using charts2006
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  The 3nd seminar of topology and algebraic topology in Zao
- Place of Presentation
  Zao Heights
- Year and Date
  2006-07-28
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Charts with at most one crossing2006
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  Seminar of Divisions -Monodromy-chart in Hakone 2006
- Place of Presentation
  Hakone Lake Hotel
- Year and Date
  2006-06-29
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Charts with at most one crossing2006
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  分裂族, モノドロミー・チャート箱根ゼミナー06
- Place of Presentation
  小田急箱根零レイクホテル
- Year and Date
  2006-01-29
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Charts with at most one crossing2006
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  Conference in Hiroshima
- Place of Presentation
  Hiroshima University
- Year and Date
  2006-02-18
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] one crossingをもつchart について2006
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  広島トポロジー研究集会(3・4次元数学を目指して)
- Place of Presentation
  広島大学
- Year and Date
  2006-02-18
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Charts with at most one crossing2006
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  日本数学会年会
- Place of Presentation
  中央大学
- Year and Date
  2006-03-28
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Charts with at most one crossing2006
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  Conference of the Mathematical Society of Japan
- Place of Presentation
  Chuo University
- Year and Date
  2006-03-28
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] チャートを用いた結び目曲面の考察2006
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  第3回「トポロジー, 代数幾何蔵王セミナー」
- Place of Presentation
  蔵王ハイツ
- Year and Date
  2006-07-28
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Charts with at most one crossing2006
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  NZ-Japan knot theory conference
- Place of Presentation
  The University of Auckland
- Year and Date
  2006-01-06
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Property of minimal charts anil its applications2004
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  Toward the Future of the Topology of Manifolds
- Place of Presentation
  The University of Tokyo
- Year and Date
  2004-11-09
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] minimal chartの性質とその応用2004
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  日本数学会2004年度秋季総合分科会
- Place of Presentation
  北海道大学
- Year and Date
  2004-09-20
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Property of minimal charts and its applications2004
- Author(s)
  Teruo, Nagase, Akiko, Shima
- Organizer
  Conference of the Mathematical Society of Japan
- Place of Presentation
  Hokkaido University
- Year and Date
  2004-09-20
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540082
[Presentation] Property of minimal charts and its applications2004
- Author(s)
  志摩亜希子, 永瀬輝男
- Organizer
  多様体のトポロジーの未来へ
- Place of Presentation
  東京大学
- Year and Date
  2004-11-09
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540082

1. KAMADA SEIICHI (60254380)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. SAEKI Osamu (30201510)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. OHTSUKI Tomotada (50223871)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. KANENOBU Taizo (00152819)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. MATSUMOTO Yukio (20011637)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. SAKUMA Makoto (30178602)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. MATSUMOTO Makoto (70231602)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. SHIMADA Ichiro (10235616)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. MATUMOTO Takao (50025467)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. TERAGAITO Masakazu (80236984)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. MATSUDA Hiroshi (70372703)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. KAWAUCHI Akio (00112524)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. HIROSE Susumu (10264144)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. SATOH Shin (90345009)

# of Collaborated Projects: 1 results

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15. ASHIKAGA Tadashi (90125203)

# of Collaborated Projects: 1 results

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16. IMAYOSHI Yoichi (30091656)

# of Collaborated Projects: 1 results

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17. ENDO Hisaaki (20323777)

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18. 小野薫 (20204232)

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19. 伊藤哲也 (00710790)

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20. 谷山公規 (10247207)

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21. 藤原耕二 (60229078)

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22. 逆井卓也 (60451902)

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23. 大山淑之 (80223981)

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24. 山下靖 (70239987)

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25. 茂手木公彦 (40219978)

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26. 森藤孝之 (90334466)

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27. 玉木大 (10252058)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

SHIMA AKIKO 志摩 亜希子

Shima Akiko 志摩 亜希子

SHIMA Akiko 志摩 亜希子

Research Projects

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Co-Researchers

Research about quande cocycle invariants and chart movesPrincipal Investigator

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Research of chart moves by using computer effectivelyPrincipal Investigator

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Theory of transformations of chartsPrincipal Investigator

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Quantum Topology of knots and 3-manifolds

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A research of surface-links by using chartsPrincipal Investigator

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Research on 4-dimensional topology from the viewpoint of graphics and quandle theory

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A Classification of Minimal ChartsPrincipal Investigator

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Geometry and topology of 4-manifolds

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Relations about geometric characteristics of surface knots and invariantsPrincipal Investigator

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State-Sum Iwarlants of Surface-knot in 4-spacePrincipal Investigator

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[Journal Article] Distinguishing surface-links described by 4-charts with two crossings and eight black vertices2023

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[Journal Article] Properties of minimal charts and their applications IX: charts of type (4,3)2023

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[Journal Article] Properties of minimal charts and their applications VIII: Charts of type (7)2022

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SHIMA AKIKO 志摩亜希子

Shima Akiko 志摩亜希子

SHIMA Akiko 志摩亜希子