K-theory of Springer varieties
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909224818180096 |
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| author | Sankaran, Parameswaran Uma, Vikraman |
| author_facet | Sankaran, Parameswaran Uma, Vikraman |
| contents | The aim of this paper is to describe the topological $K$-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 $λ=(λ_1,\ldots, λ_l)$. Our description parallels the description of the integral cohomology ring of $\mathcal{F}_λ$ due to Tanisaki and also the equivariant analogue due to Abe and Horiguchi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_03058 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | K-theory of Springer varieties Sankaran, Parameswaran Uma, Vikraman Algebraic Topology Primary 55N15, Secondary 14M15, 19L19 The aim of this paper is to describe the topological $K$-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 $λ=(λ_1,\ldots, λ_l)$. Our description parallels the description of the integral cohomology ring of $\mathcal{F}_λ$ due to Tanisaki and also the equivariant analogue due to Abe and Horiguchi. |
| title | K-theory of Springer varieties |
| topic | Algebraic Topology Primary 55N15, Secondary 14M15, 19L19 |
| url | https://arxiv.org/abs/2201.03058 |