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arXiv · 0905.0555

The genus and the category of configuration spaces

R. N. Karasev
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Abstract

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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R. N. Karasev. 2009-05-05. The genus and the category of configuration spaces. https://doi.org/10.1016/j.topol.2009.06.012

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