Prequantization of the Moduli Space of Flat PU( p )-Bundles with Prescribed Boundary Holonomies

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

[关键词] quantization;moduli space of flat connections;parabolic bundles