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Central Extensions of Loop Groups and Obstruction to Pre-Quantization

Published online by Cambridge University Press:  20 November 2018

Derek Krepski
Derek Krepski*
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, ON e-mail: krepskid@math.mcmaster.ca
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Abstract

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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

53D22Eloop groupcentral extensionprequantization

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 1 , 01 March 2013 , pp. 116 - 126
Copyright
Copyright © Canadian Mathematical Society 2013

References

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