paper

Hamiltonian actions on 0-shifted cosymplectic groupoids

arXiv:2508.17357

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.

arXiv comment12 pages, 1 figure. Comments are very welcome!