Equivariant intersection cohomology of the circle actions

Details Equivariant intersection cohomology of the circle actions Equivariant intersection cohomology of the circle actions

2011-03-25

arxiv.org/abs/1103.4964v1

Mathematics

Algebraic Topology

Scientific paper

In this paper, we prove that the orbit space $B$ and the Euler class of the action $\Phi \colon \sbat \times X \to X$ determine both the equivariant intersection cohomology of the pseudomanifold $X$ and its localization. We also construct a spectral sequence converging to the equivariant intersection cohomology of $X$ whose third term is described in terms of the intersection cohomology of $B$.

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