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

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.