Equivariant intersection cohomology of the circle actions
Algebraic Topology
2014-04-04 v3
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.
Keywords
Cite
@article{arxiv.1103.4964,
title = {Equivariant intersection cohomology of the circle actions},
author = {Jose Ignacio Royo Prieto and Martintxo Saralegi-Aranguren},
journal= {arXiv preprint arXiv:1103.4964},
year = {2014}
}
Comments
Final version as accepted in RACSAM. The final publication is available at springerlink.com; Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2012