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SATO Masatoshi  佐藤 正寿

ORCIDConnect your ORCID iD *help
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
  • Research Projects

    (6 results)
  • Research Products

    (36 results)
  • Co-Researchers

    (10 People)
  •  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

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