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arXiv · 1808.01003

Stacky Hamiltonian actions and symplectic reduction

Benjamin Hoffman·Reyer Sjamaar·Chenchang Zhu
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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.

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Benjamin Hoffman, Reyer Sjamaar, Chenchang Zhu. 2018-08-02. Stacky Hamiltonian actions and symplectic reduction. https://doi.org/10.1093/imrn%2Frnz322

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