Equivariant $K$-theory of even-dimensional complex quadrics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908628474134528 |
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| author | Paul, Bidhan |
| author_facet | Paul, Bidhan |
| contents | The aim of this paper is to describe the torus equivariant $K$-ring of even-dimensional complex quadrics by studying the graph equivariant $K$-theory of their corresponding GKM graphs. This involves providing a presentation for its graph equivariant $K$- ring in terms of generators and relations. This parallels the description of the equivariant cohomology ring of even-dimensional complex quadrics due to Kuroki. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12833 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivariant $K$-theory of even-dimensional complex quadrics Paul, Bidhan Algebraic Topology K-Theory and Homology 55N15, 14M15, 19L99 The aim of this paper is to describe the torus equivariant $K$-ring of even-dimensional complex quadrics by studying the graph equivariant $K$-theory of their corresponding GKM graphs. This involves providing a presentation for its graph equivariant $K$- ring in terms of generators and relations. This parallels the description of the equivariant cohomology ring of even-dimensional complex quadrics due to Kuroki. |
| title | Equivariant $K$-theory of even-dimensional complex quadrics |
| topic | Algebraic Topology K-Theory and Homology 55N15, 14M15, 19L99 |
| url | https://arxiv.org/abs/2401.12833 |