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Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies
Інший ID:
2010 Mathematics Subject Classification: 53D50; 53D30
DOI:10.3842/SIGMA.2014.109
DOI:10.3842/SIGMA.2014.109
Посилання:
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.
Підтримка:
This paper is a contribution to the Special Issue on Poisson Geometry in Mathematics and Physics. The full collection is available at http://www.emis.de/journals/SIGMA/Poisson2014.html.
A portion of this work is a revised version of (previously unpublished) results from the author’s Ph.D. Thesis [16], supervised by E. Meinrenken and P. Selick. I remain grateful for their
guidance and support. My sincere thanks as well to the referees for their helpful suggestions for clarification.
Дата:
2014
Переглядів:
446
Завантажень:
259
Анотація:
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.
