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- W2949607429 abstract "We propose a new homotopy invariant for Lie groupoids which generalizes the classical Lusternik-Schnirelmann category for topological spaces. We use a bicategorical approach to develop a notion of contraction in this context. We propose a notion of homotopy between generalized maps given by the 2-arrows in a certain bicategory of fractions. This notion is invariant under Morita equivalence. Thus, when the groupoid defines an orbifold, we have a well defined LS-category for orbifolds. We prove an orbifold version of the classical Lusternik-Schnirelmann theorem for critical points." @default.
- W2949607429 created "2019-06-27" @default.
- W2949607429 creator A5050956598 @default.
- W2949607429 date "2009-08-23" @default.
- W2949607429 modified "2023-09-27" @default.
- W2949607429 title "The Lusternik-Schnirelmann category of a Lie groupoid" @default.
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