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arXiv · 2201.03058

K-theory of Springer varieties

Parameswaran Sankaran·Vikraman Uma
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Abstract

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.

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Parameswaran Sankaran, Vikraman Uma. 2023-05-10. K-theory of Springer varieties. https://doi.org/10.2748/tmj.20230509

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