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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.17921 |
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| _version_ | 1866908891689779200 |
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| author | Kuroki, Shintaro Paul, Bidhan |
| author_facet | Kuroki, Shintaro Paul, Bidhan |
| contents | This paper aims to determine the ring structure of the torus equivariant cohomology of odd-dimensional complex quadrics by computing the graph equivariant cohomology of their corresponding GKM graphs. We show that its graph equivariant cohomology is generated by three types of subgraphs in the GKM graph, which are subject to four different types of relations. Furthermore, we consider the relationship between the two graph equivariant cohomology rings induced by odd- and even-dimensional complex quadrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17921 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivariant cohomology of odd-dimensional complex quadrics from a combinatorial point of view Kuroki, Shintaro Paul, Bidhan Algebraic Topology 55N91, 05C90 This paper aims to determine the ring structure of the torus equivariant cohomology of odd-dimensional complex quadrics by computing the graph equivariant cohomology of their corresponding GKM graphs. We show that its graph equivariant cohomology is generated by three types of subgraphs in the GKM graph, which are subject to four different types of relations. Furthermore, we consider the relationship between the two graph equivariant cohomology rings induced by odd- and even-dimensional complex quadrics. |
| title | Equivariant cohomology of odd-dimensional complex quadrics from a combinatorial point of view |
| topic | Algebraic Topology 55N91, 05C90 |
| url | https://arxiv.org/abs/2407.17921 |