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arxiv: 1103.4964 · v3 · pith:VNFIHHI4new · submitted 2011-03-25 · 🧮 math.AT

Equivariant intersection cohomology of the circle actions

classification 🧮 math.AT
keywords cohomologyintersectionequivariantcircleactionactionsclassconstruct
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In this paper, we prove that the orbit space B and the Euler class of an action of the circle S^1 on 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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