Central extensions of loop groups and obstruction to pre-quantization
Symplectic Geometry
2010-09-21 v2 Mathematical Physics
math.MP
Abstract
An explicit construction of a pre-quantum line bundle for the moduli space of flat G-bundles over a Riemann surface is given, where G is any non-simply connected compact simple Lie group. This work helps to explain a curious coincidence previously observed between Toledano-Laredo's work classifying central extensions of loop groups LG and the author's previous work on the obstruction to pre-quantization of the moduli space of flat G-bundles.
Keywords
Cite
@article{arxiv.1004.2278,
title = {Central extensions of loop groups and obstruction to pre-quantization},
author = {Derek Krepski},
journal= {arXiv preprint arXiv:1004.2278},
year = {2010}
}
Comments
10 pages, 1 table; v2 contains some improvements as suggested by the reviewer. To appear in Can. Math. Bull