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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Author: Krepski, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146405
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies / D. Krepski // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 23 назв. — англ.

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