The Lusternik-Schnirelmann category for a differentiable stack
Samirah Alsulami, Hellen Colman, Frank Neumann
TL;DR
This paper extends the concept of Lusternik-Schnirelmann category to differentiable stacks and explores its connection with the category for Lie groupoids, providing a new framework in differential geometry.
Contribution
It introduces a novel definition of Lusternik-Schnirelmann category for differentiable stacks and relates it to existing concepts for Lie groupoids.
Findings
Defined Lusternik-Schnirelmann category for differentiable stacks
Established relation with groupoid Lusternik-Schnirelmann category for Lie groupoids
Provided foundational framework for future research in differentiable geometry
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.
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