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Central Extensions of Loop Groups and Obstruction to Pre-Quantization
Published online by Cambridge University Press: 20 November 2018
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.
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- Copyright © Canadian Mathematical Society 2013
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