Stacky Hamiltonian actions and symplectic reduction
B Hoffman, R Sjamaar - International Mathematics Research …, 2021 - academic.oup.com
B Hoffman, R Sjamaar
International Mathematics Research Notices, 2021•academic.oup.comWe introduce the notion of a Hamiltonian action of an étale Lie group stack on an étale
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.
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.
Abstract
We introduce the notion of a Hamiltonian action of an étale Lie group stack on an étale 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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