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

preprint2014arXivOpen access

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.

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

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

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