The Equivariant LS-Category of Polar Actions
Differential Geometry
2007-05-23 v1
Abstract
We will provide a lower bound for the equivariant Lusternik-Schnirelmann category of an arbitrary proper action in terms of the stratification by orbit types, and an upper bound for proper polar actions in terms of the equivariant Lusternik-Schnirelmann category of its generalized Weyl group. As an application we reprove a theorem of Singhof that determines the classical Lusternik-Schnirelmann category for U(n) and SU(n).
Keywords
Cite
@article{arxiv.0704.3513,
title = {The Equivariant LS-Category of Polar Actions},
author = {Steven Hurder and Dirk Toeben},
journal= {arXiv preprint arXiv:0704.3513},
year = {2007}
}