Abstract view
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Central Extensions of Loop Groups and Obstruction to Pre-Quantization
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Published:2011-06-29
Printed: Mar 2013
Derek Krepski,
Department of Mathematics and Statistics, McMaster University, Hamilton, ON
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.
