We introduce the notion of Lusternik-Schnirelmann category for differentiable stacks and establish its relation with the groupoid Lusternik-Schnirelmann category for Lie groupoids. This extends the notion of Lusternik-Schnirelmann category for smooth manifolds and orbifolds.

The Lusternik-Schnirelmann Category for a Differentiable Stack

Neumann, F
2017-01-01

Abstract

We introduce the notion of Lusternik-Schnirelmann category for differentiable stacks and establish its relation with the groupoid Lusternik-Schnirelmann category for Lie groupoids. This extends the notion of Lusternik-Schnirelmann category for smooth manifolds and orbifolds.
2017
978-3-319-46309-4
978-3-319-46310-0
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1478896
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