2023/11/04 by Luka Zwaan, Zwaan, Luka
Mathematics · #Geometric and Algebraic Topology #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2311.02491
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.