Hamiltonian actions on 0-shifted cosymplectic groupoids

Published 24 Aug 2025 in math.DG and math.SG | (2508.17357v1)

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.

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