1. CMB 2011 (vol 56 pp. 116)
|Central Extensions of Loop Groups and Obstruction to Pre-Quantization|
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:loop group, central extension, prequantization