The genus and the category of configuration spaces

Details The genus and the category of configuration spaces The genus and the category of configuration spaces

2009-05-05

arxiv.org/abs/0905.0555v3

Topology and its Applications, 156:14, 2009, 2406-2415

Mathematics

Algebraic Topology

Scientific paper

10.1016/j.topol.2009.06.012

In this paper configuration spaces of smooth manifolds are considered. The accent is made on actions of certain groups (mostly $p$-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.

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