Duistermaat-Heckman measures for Hamiltonian groupoid actions
Symplectic Geometry
2025-10-13 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2311.02491,
title = {Duistermaat-Heckman measures for Hamiltonian groupoid actions},
author = {Luka Zwaan},
journal= {arXiv preprint arXiv:2311.02491},
year = {2025}
}
Comments
16 pages. Updated with more examples; mistakes and typos fixed