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Takata Doman  高田 土満

ORCIDConnect your ORCID iD *help
Researcher Number 50911583
Other IDs
Affiliation (Current) 2026: 新潟大学, 人文社会科学系教育学系列, 講師
Affiliation (based on the past Project Information) *help 2021 – 2024: 新潟大学, 人文社会科学系, 講師
Review Section/Research Field
Principal Investigator
Basic Section 11020:Geometry-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Keywords
Principal Investigator
位相的K理論 / 指数理論 / 非可換幾何学 / 位相的K理論 / ループ空間 / Hilbert多様体のC^*環 / 無限次元多様体 / 同変指数理論 / Kホモロジー / Witten種数 … More / KK理論 / ウィッテン種数 / サイバーグウィッテン理論 / ヒルベルト多様体のC^*環 / KK理論 / Hilbert多様体のC^*環 / 指数定理 Less
  • Research Projects

    (2 results)
  • Research Products

    (8 results)
  •  Equivariant index theory of infinite-dimensional manifolds and related topicsPrincipal Investigator

    • Principal Investigator
      高田 土満
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Niigata University
  •  A study on the Witten genus by C*-algebras of Hilbert manifoldsPrincipal Investigator

    • Principal Investigator
      Takata Doman
    • Project Period (FY)
      2021 – 2022
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Review Section
      0201:Algebra, geometry, analysis, applied mathematics,and related fields
    • Research Institution
      Niigata University

All 2024 2023 2022 2021

All Journal Article Presentation

  • [Journal Article] An index theorem for loop spaces2024

    • Author(s)
      Takata Doman
    • Journal Title

      Journal of Geometry and Physics

      Volume: 206 Pages: 105291-105291

    • DOI

      10.1016/j.geomphys.2024.105291

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K12970
  • [Journal Article] An infinite-dimensional index theorem and the Higson-Kasparov-Trout algebra2022

    • Author(s)
      Doman Takata
    • Journal Title

      Annals of K-theory

      Volume: 7 Pages: 1-76

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K20320
  • [Presentation] ループ空間の指数理論2024

    • Author(s)
      高田土満
    • Organizer
      第71回 幾何学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K12970
  • [Presentation] ループ空間の指数理論2023

    • Author(s)
      高田土満
    • Organizer
      第7回幾何学的群論ワークショップ
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K12970
  • [Presentation] An index theorem for loop spaces2023

    • Author(s)
      Doman Takata
    • Organizer
      Japan-Netherlands Joint Seminar: Index Theory and Operator Algebras in Topological Physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K20320
  • [Presentation] 同変指数の局所化と形式的べき級数環 ~Witten種数の非可換幾何的定式化に向かって~2022

    • Author(s)
      高田土満
    • Organizer
      都立大幾何学セミナー
    • Data Source
      KAKENHI-PROJECT-21K20320
  • [Presentation] Localized S1-equivariant index of non-compact manifolds and an analytic counterpart of Witten’s equivariant index of loop spaces2022

    • Author(s)
      高田土満
    • Organizer
      変換群論の新潮流
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K20320
  • [Presentation] Seiberg-Witten写像の「Pin(2)同変K理論的写像度」と奇素数位数巡回群の表現論2021

    • Author(s)
      高田土満
    • Organizer
      関西ゲージ理論セミナー
    • Data Source
      KAKENHI-PROJECT-21K20320

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