| ID | 63858 |
| フルテキストURL | |
| 著者 |
Imanishi, Shoichiro
Division of Mathematics, Graduate School of Science, Hokkaido University
Kuwata, Ken
Department of General Education, National Institute of Technology, Kagawa College
|
| 抄録 | In this paper, we provide a recipe for computing Euler number of Grassmann manifold G(k, N) by using Mathai-Quillen formalism (MQ formalism) [9] and Atiyah-Jeffrey construc-tion [1]. Especially, we construct path-integral representation of Euler number of G(k, N). Our model corresponds to a finite dimensional toy-model of topological Yang-Mills theory which motivated Atiyah-Jeffrey construction. As a by-product, we construct free fermion realization of cohomology ring of G(k, N).
|
| キーワード | Supersymmetry
Topological Yang-Mills theory
Schubert calculus
Grassmann manifold
Grassmann variable
|
| 備考 | © 2022 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0 License. http://creativecommons.org/licenses/by-nc-nd/4.0/.
This is the accepted manuscript version. The formal published version is available at [https://doi.org/10.1016/j.geomphys.2022.104623] .
This fulltext is available in July 2024. |
| 発行日 | 2022-10
|
| 出版物タイトル |
Journal of Geometry and Physics
|
| 巻 | 180巻
|
| 出版者 | Elsevier BV
|
| 開始ページ | 104623
|
| ISSN | 0393-0440
|
| NCID | AA10459014
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| 資料タイプ |
学術雑誌論文
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| 言語 |
英語
|
| OAI-PMH Set |
岡山大学
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| 著作権者 | © 2022 Elsevier B.V.
|
| 論文のバージョン | author
|
| DOI | |
| Web of Science KeyUT | |
| 関連URL | isVersionOf https://doi.org/10.1016/j.geomphys.2022.104623
|
| ライセンス | http://creativecommons.org/licenses/by-nc-nd/4.0/
|
| 助成機関名 |
Japan Society for the Promotion of Science
|
| 助成番号 | JP17K05214
|
