Prequantization of the Moduli Space of Flat 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 PU(p)-bundles over a compact orientable surface with prescribed holonomies around boundary components, where p>2 is prime.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2014 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146405 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862634423358324736 |
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| author | Krepski, D. |
| author_facet | Krepski, D. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-11-30T16:09:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146405 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T16:09:16Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Krepski, D. 2019-02-09T11:35:53Z 2019-02-09T11:35:53Z 2014 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. 1815-0659 2010 Mathematics Subject Classification: 53D50; 53D30 DOI:10.3842/SIGMA.2014.109 https://nasplib.isofts.kiev.ua/handle/123456789/146405 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies Article published earlier |
| spellingShingle | Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies Krepski, D. |
| title | Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies |
| title_full | Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies |
| title_fullStr | Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies |
| title_full_unstemmed | Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies |
| title_short | Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies |
| title_sort | prequantization of the moduli space of flat pu(p)-bundles with prescribed boundary holonomies |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146405 |
| work_keys_str_mv | AT krepskid prequantizationofthemodulispaceofflatpupbundleswithprescribedboundaryholonomies |