| ID | 63858 |
| FullText URL | |
| Author |
Imanishi, Shoichiro
Division of Mathematics, Graduate School of Science, Hokkaido University
Kuwata, Ken
Department of General Education, National Institute of Technology, Kagawa College
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| Abstract | 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).
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| Keywords | Supersymmetry
Topological Yang-Mills theory
Schubert calculus
Grassmann manifold
Grassmann variable
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| Note | © 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. |
| Published Date | 2022-10
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| Publication Title |
Journal of Geometry and Physics
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| Volume | volume180
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| Publisher | Elsevier BV
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| Start Page | 104623
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| ISSN | 0393-0440
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| NCID | AA10459014
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| Content Type |
Journal Article
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| language |
English
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| OAI-PMH Set |
岡山大学
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| Copyright Holders | © 2022 Elsevier B.V.
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| File Version | author
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| DOI | |
| Web of Science KeyUT | |
| Related Url | isVersionOf https://doi.org/10.1016/j.geomphys.2022.104623
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| License | http://creativecommons.org/licenses/by-nc-nd/4.0/
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| Funder Name |
Japan Society for the Promotion of Science
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| 助成番号 | JP17K05214
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