Hamiltonian actions on 0-shifted cosymplectic groupoids
Differential Geometry
2026-03-05 v2 Symplectic Geometry
Abstract
We introduce the notion of 0-shifted cosymplectic structure on differentiable stacks and develop a corresponding moment map theory for Hamiltonian cosymplectic actions. We present a reduction procedure, establish a version of the Kirwan convexity theorem, and obtain examples of Morse-Bott Lie groupoid morphisms.
Cite
@article{arxiv.2508.17357,
title = {Hamiltonian actions on 0-shifted cosymplectic groupoids},
author = {Daniel López Garcia and Fabricio Valencia},
journal= {arXiv preprint arXiv:2508.17357},
year = {2026}
}
Comments
12 pages, 1 figure. Comments are very welcome!