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arXiv · 1004.2278

Central extensions of loop groups and obstruction to pre-quantization

Derek Krepski
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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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Derek Krepski. 2010-09-20. Central extensions of loop groups and obstruction to pre-quantization. https://arxiv.org/abs/1004.2278

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