Quasi-Hamiltonian reduction via classical Chern-Simons theory

Research output: Contribution to journalArticlepeer-review

Abstract

This paper puts the theory of quasi-Hamiltonian reduction in the framework of shifted symplectic structures developed by Pantev, Toën, Vaquié and Vezzosi. We compute the symplectic structures on mapping stacks and show how the AKSZ topological field theory defined by Calaque allows one to neatly package the constructions used in quasi-Hamiltonian reduction. Finally, we explain how a prequantization of character stacks can be obtained purely locally.
Original languageEnglish
Pages (from-to)733-773
Number of pages33
JournalAdvances in Mathematics
Volume287
Early online date20 Nov 2015
DOIs
Publication statusPublished - 10 Jan 2016

Fingerprint

Dive into the research topics of 'Quasi-Hamiltonian reduction via classical Chern-Simons theory'. Together they form a unique fingerprint.

Cite this