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

2011/08/22 by Kumar, Shrawan, Procesi, Claudio
#14L40 #20G10 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1108.4339

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.

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• A new realization of the cohomology of Springer fibers
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• The torus equivariant cohomology rings of Springer varieties
• Purity of equivalued affine Springer fibers