Kametani, Yukio

写真a

Affiliation

Faculty of Science and Technology, Department of Mathematics ( Yagami )

Position

Associate Professor

External Links
Scopus Paper Info  
Paper Count: 7 Citation Count: 28 h-index: 4

Click to view the Scopus page. The data was downloaded from Scopus API in May 17, 2026, via http://api.elsevier.com and http://www.scopus.com .

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Career 【 Display / hide 】

  • 1993.06
    -
    1999.03

    佐賀大学（理工学部） ,助手

  • 1999.04
    -
    Present

    慶應義塾大学（理工学部） ,専任講師

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Academic Background 【 Display / hide 】

  • 1987.03

    Tokyo Metropolitan University, Faculty of Science, 数学科

    University, Graduated

  • 1989.03

    Tokyo Metropolitan University, Graduate School, Division of Natural Science, 数学専攻

    Graduate School, Completed, Master's course

  • 1993.03

    Tokyo Metropolitan University, Graduate School, Division of Natural Science, 数学専攻

    Graduate School, Withdrawal after completion of doctoral course requirements, Doctoral course

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Academic Degrees 【 Display / hide 】

  • 理学　, Tokyo Institute of Technology, 1998.07

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Books 【 Display / hide 】

  • 幾何学と物理

    大槻知忠、馬淵俊樹、亀谷幸生, 朝倉書店, 2023.12,  Page： 398

    Contact page： 205-376

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Papers 【 Display / hide 】

  • Topological structures of large-scale interacting systems via uniform functions and forms

    Bannai K., Kametani Y., Sasada M.

    Forum of Mathematics Sigma 12 2024.11

    　View Summary

    In this article, we investigate the topological structure of large-scale interacting systems on infinite graphs, by constructing a suitable cohomology which we call the uniform cohomology. The central idea for the construction is the introduction of a class of functions called uniform functions. Uniform cohomology provides a new perspective for the identification of macroscopic observables from the microscopic system. As a straightforward application of our theory when the underlying graph has a free action of a group, we prove a certain decomposition theorem for shift-invariant closed uniform forms. This result is a uniform version in a very general setting of the decomposition result for shift-invariant closed-forms originally proposed by Varadhan, which has repeatedly played a key role in the proof of the hydrodynamic limits of nongradient large-scale interacting systems. In a subsequent article, we use this result as a key to prove Varadhan's decomposition theorem for a general class of large-scale interacting systems.

  • A new approach to the characterization of closed forms in the nongradient forms

    KAMETANI YUKIO and MAKIKO SASADA

    RIMS Kokyuroku Bessatu B ( 59 ) 1 - 13 2016.07

    Research paper (international conference proceedings), Joint Work, Accepted,  ISSN  1881-6193

  • Equivariant version of Rochlin-type congruences

    FURUTA MIKIOKAMETANI YUKIO

    J.Math.Soc.Japan 66 ( 1 ) 205 - 221 2014

    Joint Work, Accepted

  • Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

    KAMETANI YUKIO

    Geom. Topol. Monogr. 10   147-154 2007

    Research paper (conference, symposium, etc.), Joint Work, Accepted

  • Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

    KAMETANI YUKIO

    Geom. Topol. Monogr. 10   155-166 2007

    Research paper (conference, symposium, etc.), Joint Work, Accepted

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Papers, etc., Registered in KOARA 【 Display / hide 】

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Presentations 【 Display / hide 】

  • Equivariant e-invariants and Seiberg-Witten invariants

    KAMETANI YUKIO

    [International presentation]  JAMI Conference on Geometry and Physics (Johns Hopkins University) , 

    2002.03
    , 

    Oral presentation (invited, special)

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Courses Taught 【 Display / hide 】

  • GRADUATE RESEARCH ON MATHEMATICAL AND PHYSICAL SCIENCES 2

    2026

  • MATHEMATICAL SCIENCES PRACTICAL RESEARCH ACTIVITY E

    2026

  • MATHEMATICAL SCIENCES PRACTICAL RESEARCH ACTIVITY D

    2026

  • MATHEMATICAL SCIENCES PRACTICAL RESEARCH ACTIVITY B

    2026

  • MATHEMATICAL SCIENCES PRACTICAL EDUCATIONAL RESEARCH ACTIVITY

    2026

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Courses Previously Taught 【 Display / hide 】

  • 数学4B

    Keio University

    2016.04
    -
    2017.03
    , 

    Autumn Semester

  • 幾何学第２同演習

    Keio University

    2016.04
    -
    2017.03
    , 

    Autumn Semester

  • 数学4A

    Keio University

    2016.04
    -
    2017.03
    , 

    Spring Semester

  • 線形代数

    Keio University

    2016.04
    -
    2017.03
    , 

    Spring Semester

  • 幾何学特論A

    Keio University

    2016.04
    -
    2017.03
    , 

    Spring Semester

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Educational Activities and Special Notes 【 Display / hide 】

  • 「積分表示」と「近似」の美しい世界

    2018.10

    , Lecture at Education Method and Practice

    　View Details

    慶應義塾高等学校開設70年事業の協育プログラム「理系ノ
    スヽメ」にて講演

  • 数学４A４B

    2018.03

    , Development of Textbook and Teaching Material

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Memberships in Academic Societies 【 Display / hide 】

  • 日本数学会

    　
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