Quasi-Hamiltonian reduction via classical Chern-Simons theory
type: Item
instance of: scholarly article
title: Quasi-Hamiltonian reduction via classical Chern-Simons theory
zbMATH Open document ID: 1440.53096
author: Pavel Safronov
published in: Advances in Mathematics
publication date: 2015-12-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1311.6429
review text: The author defines the shifted symplectic structures and Lagrangian morphisms and shows that by composing Lagrangian correspondences using pullbacks, one gets a composition in the category LagrCorr\(_n\). It is shown how the ordinary symplectic reduction and quasi-Hamiltonian reduction is adapted to shifted symplectic structures. Further, the correspondence between the operations in classical Chern-Simons theory and quasi-Hamiltonian reduction is explicitly given. Finally, a prequantization of the analytic character stack starting with a prequantization of the classifying stack BGL\(_n\) is provided.
reviewed by: Adara M. Blaga
Mathematics Subject Classification ID: 53D20
zbMATH DE Number: 6516078
zbMATH Keywords: symplectic geometry
zbMATH Keywords: derived algebraic geometry
zbMATH Keywords: Hamiltonian reduction
zbMATH Keywords: moment maps
MaRDI profile type: Publication
OpenAlex ID: W1862237531
arXiv ID: 1311.6429
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DOI: 10.1016/J.AIM.2015.09.031
description: scientific article