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arXiv · 2508.17357

Hamiltonian actions on 0-shifted cosymplectic groupoids

Daniel López Garcia·Fabricio Valencia
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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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Daniel López Garcia, Fabricio Valencia. 2025-08-24. Hamiltonian actions on 0-shifted cosymplectic groupoids. https://arxiv.org/abs/2508.17357

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