The Equivariant LS-Category of Polar Actions

Details The Equivariant LS-Category of Polar Actions The Equivariant LS-Category of Polar Actions

2007-04-26

arxiv.org/abs/0704.3513v1

Mathematics

Differential Geometry

Scientific paper

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).

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