The genus and the category of configuration spaces
Algebraic Topology
2011-07-06 v3
Abstract
In this paper configuration spaces of smooth manifolds are considered. The accent is made on actions of certain groups (mostly -tori) on this spaces by permuting their points. For such spaces the cohomological index, the genus in the sense of Krasnosel'skii-Schwarz, and the equivariant Lyusternik-Schnirelmann category are estimated from below, and some corollaries for functions on configuration spaces are deduced.
Keywords
Cite
@article{arxiv.0905.0555,
title = {The genus and the category of configuration spaces},
author = {R. N. Karasev},
journal= {arXiv preprint arXiv:0905.0555},
year = {2011}
}