Abe Tetsuya 安部哲哉

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ABE TETSUYA 安部哲哉

ABE Tetsuya 安部哲哉

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Researcher Number	00614009
Other IDs
Affiliation (Current)	2025: 大谷大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2017: 立命館大学, 理工学部, 嘱託講師 2017: 立命館大学, 数理科学科, 数学嘱託講師 2016: 大阪市立大学, 大学院理学研究科, 特任准教授 2016: 大阪市立大学, 数学研究所, 特任准教授 2012: 京都大学, 数理解析研究所, 研究員(GCOE) 2011 – 2012: 京都大学, 数理解析研究所, 研究員
Review Section/Research Field	Principal Investigator Geometry Except Principal Investigator Geometry
Keywords	Principal Investigator スライス・リボン予想 / Heegaard Floer homology / Handle thoery / Dehn-surgery / Concordance / Slice-ribbon予想 / 接触幾何学 / 結び目コンコーダンス / 力学系 / 結び目理論 … More / コンタクト構造 / ハンドル分解 / 4次元多様体 / バンド手術 / 低次元トポロジー / カービー計算 / ４次元多様体 / ハンドル図式(カービー図式) / リボン結び目 / スライス結び目 / コンコーダンス群 / リーホモロジー / コバノフホモロジー / Beliakova-Wehrli 不変量 / ラスムッセン不変量 / 絡み目 / 結び目 … More Except Principal Investigator ４次元多様体 / リボン結び目 / 3次元多様体 / 4次元多様体 / スライス結び目 / 有理ホモロジー4球体 / ケーブル結び目 / ヒーゴールフレアホモロジー / 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 / レンズ空間手術 / スライスリボン予想 / ホモロジー球面 / コルク / エキゾチック微分構造 / 特異点論 / divide knot / Kirby計算 / カービー計算 / 枠付き絡み目 / レンズ空間 / デーン手術 / ３次元多様体 / 多様体 Less

On the slice-ribbon conjecturePrincipal Investigator
- Principal Investigator
  
  Abe Tetsuya
- Project Period (FY)
  2016 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Ritsumeikan University
  Osaka City University
Research on low-dimensional manifold with handle diagram
- 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
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
On the Rasmussen (Beliakova-Wehrli) invariant for linksPrincipal Investigator
- Principal Investigator
  
  ABE Tetsuya
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Geometry
- Research Institution
  Kyoto University

All 2018 2017 2016 2013 2012 2011

All Journal Article Presentation

[Journal Article] Ribbon disks with the same exterior2018
- Author(s)
  Tetsuya Abe and Motoo Tange
- Journal Title
  
  Communications in Analysis and Geometry
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17597
[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] 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] Fibered knots with the same 0-surgery and the slice-ribbon conjecture2016
- Author(s)
  Tetsuya Abe, Keiji Tagami
- Journal Title
  
  Mathematical Research Letters
  
  Volume: 23 Issue: 2 Pages: 303-323
- DOI
  10.4310/mrl.2016.v23.n2.a1
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17597
[Journal Article] A construction of slice knots via annulus twists2016
- Author(s)
  Tetsuya Abe, Motoo Tange
- Journal Title
  
  Michigan Math. J
  
  Volume: 65 Issue: 3 Pages: 573-597
- DOI
  10.1307/mmj/1472066149
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17597
[Journal Article] Unoriented band-surgery on knots and links2013
- Author(s)
  T.Abe, T. Kanenobu
- Journal Title
  
  to appear in Kobe Journal of Mathematics
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840021
[Journal Article] Annulus twist and diffeomorphic 4-manifolds2013
- Author(s)
  T.Abe, I. Jong, Y. Omae and M. Takeuchi
- Journal Title
  
  Math. Proc. Cambridge Philos. Soc
  
  Pages: 1-17
- URL
  http://arxiv.org/pdf/1209.0361v2.pdf
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840021
[Journal Article] Omae's knot and 12a990 are ribbon2012
- Author(s)
  T. Abe and M. Tange
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 1812
- Data Source
  KAKENHI-PROJECT-23840021
[Journal Article] The unknotting number and band-unknotting number of a knot2012
- Author(s)
  T.Abe, R. Hanaki and R. Higa
- Journal Title
  
  Osaka J. Math
  
  Volume: 49 Pages: 523-550
- NAID
  120005986505
- URL
  http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.ojm/1340197938
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840021
[Journal Article] The unknotting number and band-unknotting number of a knot2012
- Author(s)
  Tetsuya Abe, Ryo Hanaki, Ryuji Higa
- Journal Title
  
  Osaka J.Math.
  
  Volume: (印刷中)
- NAID
  120005986505
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840021
[Journal Article] State cycles which represent the canonical class of Lee's homology of a knot2012
- Author(s)
  T.Abe
- Journal Title
  
  Topology and its Applications
  
  Volume: Volume 159 Issue: 4 Pages: 1146-1158
- DOI
  10.1016/j.topol.2011.11.042
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840021
[Journal Article] Omae's knot and 12a990 are ribbon2012
- Author(s)
  T.Abe and M. Tange
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 1812 Pages: 34-42
- URL
  http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1812-04.pdf
- Data Source
  KAKENHI-PROJECT-23840021
[Journal Article] The Rasmussen invariant of a homogeneous knot2011
- Author(s)
  Tetsuya Abe
- Journal Title
  
  Proc.Amer.Math.Soc.
  
  Volume: 139 Pages: 2647-2656
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840021
[Journal Article] The Rasmussen invariant of a homogeneous knot2011
- Author(s)
  T.Abe
- Journal Title
  
  Proc. Amer. Math. Soc
  
  Volume: 139 Pages: 2647-2656
- URL
  http://arxiv.org/pdf/1003.5392v1.pdf
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23840021
[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] The slice-ribbon conjecture and related topics2016
- Author(s)
  安部哲哉
- Organizer
  International Conference for the 70th Anniversary of Korean Mathematical Society
- Place of Presentation
  Pusan National University in Korea
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17597
[Presentation] The slice-ribbon conjecture and related topics2016
- Author(s)
  安部哲哉
- Organizer
  International conference ``4-manifolds and knot concordance"
- Place of Presentation
  Max Planck Institute for Mathematics in Germany
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17597
[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] Omae's knot and 12_a990 are ribbon2012
- Author(s)
  安部哲哉
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23840021
[Presentation] Unoriented band surgery on knots and link2012
- Author(s)
  安部哲哉
- Organizer
  日本数学会春季総合分科会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-23840021
[Presentation] Unoriented band surgery on knots and links2012
- Author(s)
  Tetsuya Abe
- Organizer
  日本数学会
- Place of Presentation
  Tokyo(日本)
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-23840021
[Presentation] Annulus twists and diffeomorphic 4-manifolds2012
- Author(s)
  Tetsuya Abe
- Organizer
  The 6th European Congress of Mathematics, Jagellionian University
- Place of Presentation
  Poland
- Year and Date
  2012-07-05
- Data Source
  KAKENHI-PROJECT-23840021
[Presentation] Omae's knot and 12a990 are ribbon2012
- Author(s)
  安部哲哉
- 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-23840021

1. TANGE MOTOO (70452422)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 山口耕平 (00175655)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Abe Tetsuya 安部 哲哉

ABE TETSUYA 安部 哲哉

ABE Tetsuya 安部 哲哉

Research Projects

Research Products

Co-Researchers

On the slice-ribbon conjecturePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on low-dimensional manifold with handle diagram

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On the Rasmussen (Beliakova-Wehrli) invariant for linksPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Ribbon disks with the same exterior2018

Author(s)

Journal Title

Data Source

[Journal Article] A construction of slice knots via annulus twists2016

Author(s)

Journal Title

Data Source

[Journal Article] A construction of slice knots via annulus twists2016

Author(s)

Journal Title

Data Source

[Journal Article] Fibered knots with the same 0-surgery and the slice-ribbon conjecture2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A construction of slice knots via annulus twists2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Unoriented band-surgery on knots and links2013

Author(s)

Journal Title

Data Source

[Journal Article] Annulus twist and diffeomorphic 4-manifolds2013

Author(s)

Journal Title

URL

Data Source

[Journal Article] Omae's knot and 12a990 are ribbon2012

Author(s)

Journal Title

Data Source

[Journal Article] The unknotting number and band-unknotting number of a knot2012

Author(s)

Journal Title

NAID

URL

Data Source

[Journal Article] The unknotting number and band-unknotting number of a knot2012

Author(s)

Journal Title

NAID

Data Source

[Journal Article] State cycles which represent the canonical class of Lee's homology of a knot2012

Author(s)

Journal Title

DOI

Abe Tetsuya 安部哲哉

ABE TETSUYA 安部哲哉

ABE Tetsuya 安部哲哉