Quasi-Hamiltonian reduction via classical Chern-Simons theory

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• 作者：Pavel Safronov¹ ; ^{pavel.safronov@maths.ox.ac.uk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：53D20
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：10 January 2016
• 年：2016
• 卷：287
• 期：Complete
• 页码：733-773
• 全文大小：583 K

文摘

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.