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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2014 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146405 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146405 |
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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 A portion of this work is a revised version of (previously unpublished) results from the author’s Ph.D. Thesis [16], supervised by E. Meinrenken and P. Selick.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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies |
| spellingShingle |
Prequantization of the Moduli Space of Flat PU(p)-Bundles with Prescribed Boundary Holonomies Krepski, D. |
| title_short |
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_sort |
prequantization of the moduli space of flat pu(p)-bundles with prescribed boundary holonomies |
| author |
Krepski, D. |
| author_facet |
Krepski, D. |
| publishDate |
2014 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146405 |
| 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. |
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AT krepskid prequantizationofthemodulispaceofflatpupbundleswithprescribedboundaryholonomies |
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2025-11-30T16:09:16Z |
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2025-11-30T16:09:16Z |
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1850858138534674432 |