2015•Pacific Journal of MathematicsOpen access

Torus actions and tensor products of intersection cohomology

Asilata Bapat

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Abstract

Given certain intersection cohomology sheaves on a projective variety with a torus action, we relate the cohomology groups of their tensor product to the cohomology groups of the individual sheaves.We also prove a similar result in the case of equivariant cohomology.

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Given certain intersection cohomology sheaves on a projective variety with a torus action, we relate the cohomology groups of their tensor product to the cohomology groups of the individual sheaves.We also prove a similar result in the case of equivariant cohomology.

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Given certain intersection cohomology sheaves on a projective variety with a torus action, we relate the cohomology groups of their tensor product to the cohomology groups of the individual sheaves.We also prove a similar result in the case of equivariant cohomology.

Key concepts: Mathematics, Equivariant cohomology, Cohomology, Intersection homology, Cup product, Pure mathematics, Group cohomology, Torus

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