SATO Masatoshi 佐藤正寿

Researcher Number	10632010
Other IDs
Affiliation (Current)	2025: 東京電機大学, 未来科学部, 教授
Affiliation (based on the past Project Information) *help	2015 – 2023: 東京電機大学, 未来科学部, 准教授 2012 – 2014: 岐阜大学, 教育学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry Except Principal Investigator Geometry
Keywords	Principal Investigator 写像類群 / Torelli群 / Reidemeisterトーション / ホモロジーシリンダー / LMO関手 / 有限型不変量 / ハンドル体写像類群 / トレリ群 / Goldman-Turaevリー双代数 / Johnson準同型 … More / 3次元多様体 / トポロジー / ジョンソン核 / Krizモデル / 配置空間 / 3次元ハンドル体 / 円板複体 / ハンドル体 / 群ホモロジー … More Except Principal Investigator ジョンソン準同型 / マグナス展開 / トポロジー / ゴールドマン・トゥラエフ・リー双代数 / トゥラエフ余括弧積 / 写像類群 / リーマン面 / 非可換ポアソン幾何 / ベルヌーイ数 / 柏原・ヴェルニュ問題 / モジュライ空間 / リー代数アーベル化 / フレーミング / ゴールドマン括弧積 / 柏原ヴェルニュ問題 / ホモロジカル・ゴールドマン・リー代数 / 形式的シンプレクティック幾何学 / ファットグラフ / 榎本-佐藤トレース / 無限次元リー代数 / 発散コサイクル / 榎本佐藤トレース / 正則ホモトピー / ゴールドマン・リー代数 Less

LMO関手と曲面の写像類群の部分群の研究Principal Investigator
- Principal Investigator
  
  佐藤正寿
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo Denki University
Study on 3-manifolds and cohomology of subgroups of the mapping class group of a surfacePrincipal Investigator
- Principal Investigator
  
  Sato Masatoshi
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo Denki University
Topological studies on Riemann surfaces through Lie bialgebras
- Principal Investigator
  
  Kawazumi Nariya
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
A study of cohomology of subgroups of the mapping class group and finite type invariants of homology three spheresPrincipal Investigator
- Principal Investigator
  
  SATO Masatoshi
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Denki University
  Gifu University
Twisted cohomology of mapping class groups with infinite dimensional coefficients and rational cohomology of Torelli groupsPrincipal Investigator
- Principal Investigator
  
  SATO Masatoshi
- Project Period (FY)
  2012 – 2013
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Geometry
- Research Institution
  Gifu University
Topological study of Riemann surfaces through infinite-dimensional Lie algebras
- Principal Investigator
  
  Kawazumi Nariya
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo

All 2023 2022 2021 2020 2019 2017 2016 2015 2014 2013 2012 Other

All Journal Article Presentation

[Journal Article] A non-commutative Reidemeister-Turaev torsion of homology cylinders2023
- Author(s)
  Yuta Nozaki, Masatoshi Sato and Masaaki Suzuki
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: 376 Issue: 7 Pages: 5045-5088
- DOI
  10.1090/tran/8925
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03310, KAKENHI-PROJECT-22K03298, KAKENHI-PROJECT-20K14317, KAKENHI-PROJECT-19H01785
[Journal Article] On the kernel of the surgery map restricted to the 1-loop part2022
- Author(s)
  Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki
- Journal Title
  
  Journal of Topology
  
  Volume: 15 Issue: 2 Pages: 587-619
- DOI
  10.1112/topo.12233
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03310, KAKENHI-PROJECT-20K14317, KAKENHI-PLANNED-20H05795, KAKENHI-PROJECT-23K20799
[Journal Article] Abelian quotients of the Y-filtration on the homology cylinders via the LMO functor2021
- Author(s)
  Yuta Nozaki, Masatoshi Sato, and Masaaki Suzuki
- Journal Title
  
  Geometry and Topology
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03310
[Journal Article] The Meyer function on the handlebody group2020
- Author(s)
  KUNO Yusuke、SATO Masatosh
- Journal Title
  
  TURKISH JOURNAL OF MATHEMATICS
  
  Volume: 44 Issue: 5 Pages: 1520-1533
- DOI
  10.3906/mat-1911-67
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03308, KAKENHI-PROJECT-18K03310, KAKENHI-PROJECT-18KK0071
[Journal Article] A twisted first homology group of the handlebody mapping class group2017
- Author(s)
  Tomohiko Ishida, Masatoshi Sato
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 印刷中
- NAID
  120006336191
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26800034
[Journal Article] On stable commutator length in hyperelliptic mapping class groups2014
- Author(s)
  Danny Calegari, Naoyuki Monden, Masatoshi Sato
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840023
[Presentation] LMO関手によるTorelli群の降中心列の次数商の評価2023
- Author(s)
  佐藤正寿
- Organizer
  佐賀大学・学習院大学合同トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03310
[Presentation] A non-commutative Reidemeister-Turaev torsion of homology cylinders2023
- Author(s)
  佐藤正寿
- Organizer
  微分トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03310
[Presentation] A non-commutative Reidemeister-Turaev torsion of homology cylinders2023
- Author(s)
  佐藤正寿
- Organizer
  微分トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03298
[Presentation] LMO関手による写像類群の部分群の可換商2023
- Author(s)
  佐藤正寿
- Organizer
  数理科学科談話会・東京理科大学幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03310
[Presentation] LMO関手による写像類群の部分群の可換商2023
- Author(s)
  佐藤正寿
- Organizer
  数理科学科談話会・東京理科大学幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03298
[Presentation] LMO関手によるTorelli群の降中心列の次数商の評価2023
- Author(s)
  佐藤正寿
- Organizer
  佐賀大学・学習院大学合同トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03298
[Presentation] A non-commutative Reidemeister-Turaev torsion of homology cylinders2022
- Author(s)
  Masatoshi Sato
- Organizer
  Topology and Geometry of Low-dimensional Manifolds
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03310
[Presentation] A non-commutative Reidemeister-Turaev torsion of homology cylinders2021
- Author(s)
  佐藤正寿
- Organizer
  トポロジー火曜セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03310
[Presentation] トーラス上の点の順序つき配置空間のコホモロジー群について2019
- Author(s)
  佐藤正寿
- Organizer
  種々の幾何学的構造と基本群に現れる様々な特性類とその不変量への応用
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] Abelian quotients of the Y-filtration on the homology cylinders via the LMO functor II2019
- Author(s)
  佐藤正寿
- Organizer
  低次元トポロジーin 白神 2019
- Data Source
  KAKENHI-PROJECT-18K03310
[Presentation] On the cohomology group of genus 3 handlebody mapping class group2019
- Author(s)
  Masatoshi Sato
- Organizer
  Cohomological study of mapping class groups and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] Abelian quotients of the Y-filtration on the homology cylinders via the LMO functor II2019
- Author(s)
  Masatoshi Sato
- Organizer
  A one-day workshop on Invariants of homology cylinders
- Invited
- Data Source
  KAKENHI-PROJECT-18K03310
[Presentation] On the homology group of the genus three handlebody mapping class group2017
- Author(s)
  佐藤正寿
- Organizer
  Topological invariants in low dimensional topology
- Invited
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] 種数3のハンドル体写像類群のホモロジー群について2017
- Author(s)
  佐藤正寿
- Organizer
  表現論による諸問題への新しいアプローチを目指して
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] 種数3のハンドル体写像類群のホモロジー群について2017
- Author(s)
  佐藤正寿
- Organizer
  学習院トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] On the homology group of the genus three handlebody mapping class group2017
- Author(s)
  佐藤正寿
- Organizer
  Wednesday afternoon seminar
- Invited
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] LMO関手と写像類群の部分群の可換商について2016
- Author(s)
  佐藤正寿
- Organizer
  理学セミナー
- Place of Presentation
  日本女子大学（東京都文京区）
- Invited
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] On the LMO functor constructed by Cheptea, Habiro and Massuyeau2016
- Author(s)
  佐藤正寿
- Organizer
  Workshop on finite type invariants of 3-manifolds
- Place of Presentation
  東京大学（東京都, 目黒区）
- Year and Date
  2016-03-30
- Invited
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] On the cohomology ring of the handlebody mapping class group of genus two2015
- Author(s)
  Masatoshi Sato
- Organizer
  Atelier de travail franco-japonais sur la geometrie des groupes modulaires et des espaces de Teichmueller
- Place of Presentation
  東京大学（東京都, 目黒区）
- Year and Date
  2015-11-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] 種数2のハンドル体写像類群の整係数コホモロジー環について2015
- Author(s)
  佐藤正寿
- Organizer
  東工大トポロジーセミナー
- Place of Presentation
  東京工業大学（東京都, 目黒区）
- Year and Date
  2015-11-26
- Invited
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] 種数2のハンドル体写像類群のコホモロジー環について2015
- Author(s)
  佐藤正寿
- Organizer
  トポロジー金曜セミナー
- Place of Presentation
  九州大学（福岡県・福岡市）
- Year and Date
  2015-01-22
- Invited
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] On the cohomology ring of the handlebody mapping class group of genus two2015
- Author(s)
  佐藤正寿
- Organizer
  トポロジー火曜セミナー
- Place of Presentation
  東京大学（東京都, 目黒区）
- Year and Date
  2015-11-24
- Invited
- Data Source
  KAKENHI-PROJECT-26800034
[Presentation] A minimal generating set of the level -2 mapping class group of a non-orientable surface2014
- Author(s)
  佐藤正寿
- Organizer
  離散群と双曲空間の複素解析とトポロジー
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-01-22
- Data Source
  KAKENHI-PROJECT-24840023
[Presentation] The mod 2 Johnson homomorphism and the abelianization of the level 2 mapping class groups of a non-orientable surface2013
- Author(s)
  M. Sato, and S. Hirose
- Organizer
  Workshop : Johnson homomorphisms
- Place of Presentation
  University of Tokyo
- Year and Date
  2013-06-05
- Data Source
  KAKENHI-PROJECT-24840023
[Presentation] The mod 2 Johnson homomorphism and the abelianization of the level 2 mapping class groups of a non-orientable surface2013
- Author(s)
  佐藤正寿, 廣瀬進
- Organizer
  リーマン面に関連する位相幾何学
- Place of Presentation
  東京大学
- Year and Date
  2013-08-26
- Data Source
  KAKENHI-PROJECT-24840023
[Presentation] 点付き球面の写像類群の安定交換子長について2012
- Author(s)
  佐藤正寿
- Organizer
  リーマン面に関連する位相幾何学
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-24840023
[Presentation] On stable commutator length in the mapping class groups of punctured spheres2012
- Author(s)
  佐藤正寿
- Organizer
  Aspects of representation theory in low-dimensional topology and 3-dimensional invariants
- Place of Presentation
  hotel club Vacanciel（フランス）
- Invited
- Data Source
  KAKENHI-PROJECT-24840023
[Presentation] The mod 2 Johnson homomorphism and the abelianization of the level 2 mapping class groups of a non-orientable surface
- Author(s)
  廣瀬進, 佐藤正寿
- Organizer
  リーマン面に関連する位相幾何学
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-24840023
[Presentation] The mod 2 Johnson homomorphism and the abelianization of the level 2 mapping class groups of a non-orientable surface
- Author(s)
  Hirose Susumu, Masatoshi Sato
- Organizer
  Johnson homomorphisms
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-24840023
[Presentation] A minimal generating set of the level 2 mapping class group of a non-orientable surface
- Author(s)
  佐藤正寿
- Organizer
  離散群と双曲空間の複素解析とトポロジー
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24840023

1. Kawazumi Nariya (30214646)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. TADOKORO Yuuki (10435414)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. SATOH Takao (70533256)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. KUNO Yusuke (80632760)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
5. ISHIDA Tomohiko

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
6. KURIBAYASHI Katsuhiko

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. NAITO Takahito

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. Penner Robert

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. Alekseev Anton

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. Naef Florian

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

SATO Masatoshi 佐藤 正寿

Research Projects

Research Products

Co-Researchers

LMO関手と曲面の写像類群の部分群の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on 3-manifolds and cohomology of subgroups of the mapping class group of a surfacePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Topological studies on Riemann surfaces through Lie bialgebras

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A study of cohomology of subgroups of the mapping class group and finite type invariants of homology three spheresPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Twisted cohomology of mapping class groups with infinite dimensional coefficients and rational cohomology of Torelli groupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Topological study of Riemann surfaces through infinite-dimensional Lie algebras

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A non-commutative Reidemeister-Turaev torsion of homology cylinders2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the kernel of the surgery map restricted to the 1-loop part2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Abelian quotients of the Y-filtration on the homology cylinders via the LMO functor2021

Author(s)

Journal Title

Data Source

[Journal Article] The Meyer function on the handlebody group2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A twisted first homology group of the handlebody mapping class group2017

Author(s)

Journal Title

NAID

Data Source

[Journal Article] On stable commutator length in hyperelliptic mapping class groups2014

Author(s)

Journal Title

Data Source

[Presentation] LMO関手によるTorelli群の降中心列の次数商の評価2023

Author(s)

Organizer

Data Source

[Presentation] A non-commutative Reidemeister-Turaev torsion of homology cylinders2023

Author(s)

Organizer

Data Source

[Presentation] A non-commutative Reidemeister-Turaev torsion of homology cylinders2023

Author(s)

Organizer

Data Source

SATO Masatoshi 佐藤正寿