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Mathematics  2011 

Equivariant intersection cohomology of the circle actions

DOI: 10.1007/s13398-012-0097-z

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Abstract:

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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