Quasi-Hamiltonian reduction via classical Chern-Simons theory
Algebraic Geometry
2016-01-19 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
This paper puts the theory of quasi-Hamiltonian reduction in the framework of shifted symplectic structures developed by Pantev, To\"{e}n, Vaqui\'{e} 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.
Keywords
Cite
@article{arxiv.1311.6429,
title = {Quasi-Hamiltonian reduction via classical Chern-Simons theory},
author = {Pavel Safronov},
journal= {arXiv preprint arXiv:1311.6429},
year = {2016}
}
Comments
33 pages