Intersection cohomology of circle actions
Algebraic Topology
2009-03-24 v5 Differential Geometry
Abstract
A classical result says that a free action of the circle on a topological space is geometrically classified by the orbit space and by a cohomological class , the Euler class. When the action is not free we have a difficult open question: : "Is the space determined by the orbit space and the Euler class?" The main result of this work is a step towards the understanding of the above question in the category of unfolded pseudomanifolds. We prove that the orbit space and the Euler class determine: * the intersection cohomology of , * the real homotopy type of .
Cite
@article{arxiv.math/0403100,
title = {Intersection cohomology of circle actions},
author = {Gabriel Padilla and Martintxo Saralegi-Aranguren},
journal= {arXiv preprint arXiv:math/0403100},
year = {2009}
}