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arXiv · 2311.02491

Duistermaat-Heckman measures for Hamiltonian groupoid actions

Luka Zwaan
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Abstract

Consider a source proper, source connected regular symplectic groupoid acting locally freely and effectively in a Hamiltonian way, and assume that the moment map is proper and has connected fibres. In this case there is an associated Duistermaat-Heckman measure on the quotient orbifold. We show that this measure is polynomial with respect to the natural affine measure.

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Luka Zwaan. 2023-11-04. Duistermaat-Heckman measures for Hamiltonian groupoid actions. https://arxiv.org/abs/2311.02491

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