Stacky Hamiltonian Actions and Symplectic Reduction-Reference-Cited by-同舟云学术

Stacky Hamiltonian Actions and Symplectic Reduction

Published:2020-03-11 Issue:20 Volume:2021 Page:15209-15300
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Hoffman Benjamin¹,Sjamaar Reyer¹

Affiliation:

1. Department of Mathematics, Cornell University, Ithaca, NY 14853-4201, USA

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/20/15209/40739877/rnz322.pdf

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