An algebro-geometric realization of equivariant cohomology of some Springer fibers

TL;DR

This paper constructs an explicit affine algebraic variety whose coordinate ring models the equivariant cohomology of certain Springer fibers, providing a concrete algebraic realization.

Contribution

It introduces a new explicit affine algebraic variety that captures the equivariant cohomology of Springer fibers, linking algebraic geometry with representation theory.

Findings

Explicit affine variety constructed for Springer fibers' cohomology

Coordinate ring is isomorphic to equivariant cohomology

Weyl group action preserved in the algebraic model

Abstract

We give an explicit affine algebraic variety whose coordinate ring is isomorphic (as an algebra with the action of the Weyl group) with the equivariant cohomology of some Springer fibers.