Equivariant $K$-theory of Springer Varieties
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910287247966208 |
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| author | Uma, Vikraman |
| author_facet | Uma, Vikraman |
| contents | The aim of this paper is to describe the topological equivariant $K$-ring, in terms of generators and relations, of a Springer variety $\mathcal{F}_λ$ of type $A$ associated to a nilpotent operator having Jordan canonical form whose block sizes form a weakly decreasing sequence $λ=(λ_1,\ldots, λ_l)$. This parallels the description of the equivariant cohomology ring of $\mathcal{F}_λ$ due to Abe and Horiguchi and generalizes the description of ordinary topological $K$-ring of $\mathcal{F}_λ$ due to Sankaran and Uma \cite{su}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_01886 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equivariant $K$-theory of Springer Varieties Uma, Vikraman K-Theory and Homology Algebraic Geometry Algebraic Topology 55N15, 14M15, 19L99 The aim of this paper is to describe the topological equivariant $K$-ring, in terms of generators and relations, of a Springer variety $\mathcal{F}_λ$ of type $A$ associated to a nilpotent operator having Jordan canonical form whose block sizes form a weakly decreasing sequence $λ=(λ_1,\ldots, λ_l)$. This parallels the description of the equivariant cohomology ring of $\mathcal{F}_λ$ due to Abe and Horiguchi and generalizes the description of ordinary topological $K$-ring of $\mathcal{F}_λ$ due to Sankaran and Uma \cite{su}. |
| title | Equivariant $K$-theory of Springer Varieties |
| topic | K-Theory and Homology Algebraic Geometry Algebraic Topology 55N15, 14M15, 19L99 |
| url | https://arxiv.org/abs/2301.01886 |