On GKM Description of the Equivariant Cohomology of Affine Flag Varieties and Affine Springer Fibers
نویسندگان
چکیده
For a projective variety endowed with a torus action, the equivariant cohomology is determined by the fixed points of codimension 1 subtori. Especially, when the fixed points of the torus are finite and fixed varieties under the action of codimension 1 subtori have dimension less than or equal to 2, equivariant cohomology can be described by discrete conditions on the pair of fixed points via GKM description of localizaton theorem. We provide explicit formula for the equivariant cohomology of affine flag varieties and prove the isomorphism between the i-th cohomology of affine flag variety and that of affine Springer fibers for i less than the rank of affine flag variety.
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