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arXiv · 1405.4436

Categories of orbit types for proper Lie groupoids

Jack Morava
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Abstract

It is widely understood that the quotient space of a topological group action can have a complicated combinatorial structure, indexed somehow by the sotropy groups of the action, but how best to record this structure seems unclear. This sketch defines a database category of orbit types for a proper Lie groupoid (based on recent work with roots in the theory of geometric quantization) as an attempt to capture some of this information.

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Jack Morava. 2014-05-17. Categories of orbit types for proper Lie groupoids. https://arxiv.org/abs/1405.4436

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