Stacky Hamiltonian actions and symplectic reduction
Symplectic Geometry
2023-11-27 v3 Differential Geometry
Abstract
We introduce the notion of a Hamiltonian action of an \'etale Lie group stack on an \'etale symplectic stack and establish versions of the Kirwan convexity theorem, the Meyer-Marsden-Weinstein symplectic reduction theorem, and the Duistermaat-Heckman theorem in this context.
Cite
@article{arxiv.1808.01003,
title = {Stacky Hamiltonian actions and symplectic reduction},
author = {Benjamin Hoffman and Reyer Sjamaar and Chenchang Zhu},
journal= {arXiv preprint arXiv:1808.01003},
year = {2023}
}
Comments
65 pages; appendix by Chenchang Zhu