Geodesic
Central Extensions of Loop Groups and Obstruction to Pre-Quantization
Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 116-126

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DOI

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.
DOI : 10.4153/CMB-2011-131-6
Mots-clés : 53D, 22E, loop group, central extension, prequantization 
Krepski, Derek. Central Extensions of Loop Groups and Obstruction to Pre-Quantization. Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 116-126. doi: 10.4153/CMB-2011-131-6
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     year = {2013},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-131-6/}
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