Saito Toshio 斎藤敏夫

… Alternative Names

斎藤敏夫サイトウトシオ

SAITO Toshio 斎藤敏夫

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Researcher Number	90397670
Other IDs
Affiliation (Current)	2025: 上越教育大学, 大学院学校教育研究科, 教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 上越教育大学, 大学院学校教育研究科, 教授 2019: 上越教育大学, 大学院学校教育研究科, 教授 2016 – 2018: 上越教育大学, 大学院学校教育研究科, 准教授 2015: 上越教育大学, 学校教育研究科(研究院), 准教授 2012 – 2013: 上越教育大学, 学校教育研究科(研究院), 准教授
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related
Keywords	Principal Investigator Heegaard分解 / 結び目 / ３次元多様体 / 仮想結び目 / デーン手術 / フロースパイン / タングル / トポロジー / リザンドル / 仮想結び目図式 … More / タングル分解 / 橋指数 / トンネル数 / 無限複体 / ヘガード分解 / 無限腹帯 / Ｈｅｅｇａａｒｄ分解 Less

Research on 3-manifolds by splitting and gluingPrincipal Investigator
- Principal Investigator
  
  斎藤敏夫
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Joetsu University of Education
Research on 3-manifolds by using infinite complexes associated with surfacesPrincipal Investigator
- Principal Investigator
  
  Saito Toshio
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Joetsu University of Education
Research on knots using Heegaard theoryPrincipal Investigator
- Principal Investigator
  
  SAITO Toshio
- Project Period (FY)
  2012 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Joetsu University of Education

All 2024 2022 2021 2020 2019 2018 2017 2016 2015 2013 Other

All Journal Article Presentation Book

[Book] Lecture notes on generalized Heegaard splittings2016
- Author(s)
  M. Scharlemann, J. Schultens and T. Saito
- Total Pages
  138
- Publisher
  World Scientific Publishing Co. Pte. Ltd.
- Data Source
  KAKENHI-PROJECT-15K04869
[Journal Article] On constraints for knots to admit chirally cosmetic surgeries and their calculations2022
- Author(s)
  Kazuhiro Ichihara, Tetsuya Ito and Toshio Saito
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 321 Issue: 1 Pages: 167-191
- DOI
  10.2140/pjm.2022.321.167
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03490, KAKENHI-PROJECT-21K03244, KAKENHI-PROJECT-22K03301, KAKENHI-PROJECT-21H04428
[Journal Article] Knots in homology lens spaces determined by their complements2022
- Author(s)
  Kazuhiro Ichihara, Toshio Saito
- Journal Title
  
  Bull. Korean Math. Soc.
  
  Volume: 59 Pages: 869-877
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K03244
[Journal Article] Two-bridge knots admit no purely cosmetic surgeries2021
- Author(s)
  Ichihara Kazuhiro、Jong In Dae、Mattman Thomas W、Saito Toshio
- Journal Title
  
  Algebraic & Geometric Topology
  
  Volume: 21 Issue: 5 Pages: 2411-2424
- DOI
  10.2140/agt.2021.21.2411
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03287, KAKENHI-PROJECT-19K03483, KAKENHI-PROJECT-21K03244
[Journal Article] Chirally Cosmetic Surgeries and Casson Invariants2021
- Author(s)
  ICHIHARA Kazuhiro、ITO Tetsuya、SAITO Toshio
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 44 Issue: -1 Pages: 1-24
- DOI
  10.3836/tjm/1502179325
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03287, KAKENHI-PROJECT-19K03490, KAKENHI-PROJECT-21K03244
[Journal Article] Minimal partitions for critical Heegaard splittings2020
- Author(s)
  Jung Hoon Lee, Toshio Saito
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 29 Issue: 04 Pages: 2050023-2050023
- DOI
  10.1142/s0218216520500236
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04869
[Journal Article] Bicompressible surfaces and incompressible surfaces2019
- Author(s)
  Toshio Saito
- Journal Title
  
  Bull. Korean Math. Soc.
  
  Volume: 56 Pages: 515-520
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04869
[Journal Article] High distance tangles and tunnel number of knots2018
- Author(s)
  Toshio Saito
- Journal Title
  
  Math. Proc. Cambridge Philos. Soc.
  
  Volume: 165 Issue: 3 Pages: 541-548
- DOI
  10.1017/s0305004117000652
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04869
[Journal Article] Cosmetic surgery and the SL(2,C) Casson invariant for two-bridge knots2018
- Author(s)
  Kazuhiro Ichihara and Toshio Saito
- Journal Title
  
  Hiroshima Math. J.
  
  Volume: 48 Pages: 21-37
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04869
[Journal Article] Examples of nested essential free tangles2016
- Author(s)
  Toshio Saito
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 4 Issue: 04 Pages: 1650020-1650020
- DOI
  10.1142/s0218216516500206
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04869
[Journal Article] Knots with arbitrarily high distance bridge decompositions2013
- Author(s)
  Kazuhiro Ichihara and Toshio Saito
- Journal Title
  
  Bulletin of the Korean Mathematical Society
  
  Volume: 50 Issue: 6 Pages: 1989-2000
- DOI
  10.4134/bkms.2013.50.6.1989
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740061, KAKENHI-PROJECT-24740041
[Journal Article] Free 2-tangles from the point of view of c-Heegaard splittings2013
- Author(s)
  Toshio Saito
- Journal Title
  
  Topology Appl
  
  Volume: 160, no. 1 Issue: 1 Pages: 74-8
- DOI
  10.1016/j.topol.2012.09.016
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740041
[Journal Article] Tunnel number of tangles and knots
- Author(s)
  Toshio Saito
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: (印刷中)
- NAID
  130004706002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740041
[Journal Article] Essential tangle decompositions of knots with tunnel number one tangles
- Author(s)
  Toshio Saito
- Journal Title
  
  Topology Appl
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740041
[Presentation] Exceptional or half-integral chirally cosmetic surgeries2024
- Author(s)
  Toshio Saito
- Organizer
  The 19th East Asian Conference on Geometric Topology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03244
[Presentation] Knots in homology lens spaces determined by their complements2021
- Author(s)
  斎藤敏夫
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K03244
[Presentation] Combed 3-manifolds as viewed from virtual knot diagrams2019
- Author(s)
  斎藤敏夫
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15K04869
[Presentation] Topology and Geometry of Low-dimensional Manifolds2018
- Author(s)
  斎藤敏夫
- Organizer
  Tunnel number of knots and generalized tangles
- Invited
- Data Source
  KAKENHI-PROJECT-15K04869
[Presentation] Tunnel number of knots and generalized tangles2018
- Author(s)
  斎藤敏夫
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15K04869
[Presentation] An approach to defining Hempel distance of generalized Heegaard splittings2017
- Author(s)
  斎藤敏夫
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15K04869
[Presentation] High distance tangles and tunnel number of knots2016
- Author(s)
  斎藤敏夫
- Organizer
  2016 International Conference of the Honam Mathematical Society
- Place of Presentation
  全北大学校 (全州，韓国)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04869
[Presentation] High distance tangles and tunnel number of knots2015
- Author(s)
  斎藤敏夫
- Organizer
  拡大KOOKセミナー2015
- Place of Presentation
  神戸大学 (兵庫県・神戸市)
- Year and Date
  2015-08-19
- Data Source
  KAKENHI-PROJECT-15K04869
[Presentation] Tunnel number of tangles and knots2013
- Author(s)
  斎藤敏夫
- Organizer
  国際研究集会「International Conference on Topology and Geometry 2013」
- Place of Presentation
  島根大学
- Year and Date
  2013-09-03
- Data Source
  KAKENHI-PROJECT-24740041
[Presentation] Meridional destabilizing number of knots2013
- Author(s)
  斎藤敏夫
- 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-24740041
[Presentation] Meridional destabilizing number of knots
- Author(s)
  Toshio Saito
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-24740041
[Presentation] Tunnel number of tangles and knots
- Author(s)
  Toshio Saito
- Organizer
  International Conference on Topology and Geometry 2013
- Place of Presentation
  島根大学
- Data Source
  KAKENHI-PROJECT-24740041

1. 伊藤哲也

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
2. 市原一裕

# of Collaborated Projects: 0 results

# of Collaborated Products: 3 results

Saito Toshio 斎藤 敏夫

斎藤 敏夫 サイトウ トシオ

SAITO Toshio 斎藤 敏夫

Research Projects

Research Products

Co-Researchers

Research on 3-manifolds by splitting and gluingPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on 3-manifolds by using infinite complexes associated with surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on knots using Heegaard theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] Lecture notes on generalized Heegaard splittings2016

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] On constraints for knots to admit chirally cosmetic surgeries and their calculations2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Knots in homology lens spaces determined by their complements2022

Author(s)

Journal Title

Data Source

[Journal Article] Two-bridge knots admit no purely cosmetic surgeries2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Chirally Cosmetic Surgeries and Casson Invariants2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Minimal partitions for critical Heegaard splittings2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Bicompressible surfaces and incompressible surfaces2019

Author(s)

Journal Title

Data Source

[Journal Article] High distance tangles and tunnel number of knots2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Cosmetic surgery and the SL(2,C) Casson invariant for two-bridge knots2018

Author(s)

Journal Title

Data Source

[Journal Article] Examples of nested essential free tangles2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Knots with arbitrarily high distance bridge decompositions2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Free 2-tangles from the point of view of c-Heegaard splittings2013

Author(s)

Journal Title

DOI

Saito Toshio 斎藤敏夫

斎藤敏夫サイトウトシオ

SAITO Toshio 斎藤敏夫