Prequantization of the Moduli Space of Flat $\mathrm{PU}(p)$-Bundles with Prescribed Boundary Holonomies

Derek Krepski

Department of Mathematics, University of Manitoba, Canada

Abstract: Using the framework of quasi-Hamiltonian actions, we compute the obstruction to prequantization for the moduli space of flat $\mathrm{PU}(p)$-bundles over a compact orientable surface with prescribed holonomies around boundary components, where $p>2$ is prime.

Keywords: quantization; moduli space of flat connections; parabolic bundles.

MSC: 53D50; 53D30

Received: August 5, 2014; in final form November 28, 2014; Published online December 5, 2014

Language: English

DOI: 10.3842/SIGMA.2014.109

Bibliographic databases:

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ArXiv: 1408.0253