Nontrivial Deformation of a Trivial Bundle
The SU(2)-prolongation of the Hopf fibration S³→S² is a trivializable principal SU(2)-bundle. We present a noncommutative deformation of this bundle to a quantum principal SUq(2)-bundle that is not trivializable. On the other hand, we show that the SUq(2)-bundle is piecewise trivializable with respe...
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| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146823 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Nontrivial Deformation of a Trivial Bundle / P.M. Hajac, B. Zieliński // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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dspace |
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irk-123456789-1468232019-02-12T01:24:50Z Nontrivial Deformation of a Trivial Bundle Hajac, P.M. Zieliński, B. The SU(2)-prolongation of the Hopf fibration S³→S² is a trivializable principal SU(2)-bundle. We present a noncommutative deformation of this bundle to a quantum principal SUq(2)-bundle that is not trivializable. On the other hand, we show that the SUq(2)-bundle is piecewise trivializable with respect to the closed covering of S² by two hemispheres intersecting at the equator. 2014 Article Nontrivial Deformation of a Trivial Bundle / P.M. Hajac, B. Zieliński // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 58B32 DOI:10.3842/SIGMA.2014.031 http://dspace.nbuv.gov.ua/handle/123456789/146823 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The SU(2)-prolongation of the Hopf fibration S³→S² is a trivializable principal SU(2)-bundle. We present a noncommutative deformation of this bundle to a quantum principal SUq(2)-bundle that is not trivializable. On the other hand, we show that the SUq(2)-bundle is piecewise trivializable with respect to the closed covering of S² by two hemispheres intersecting at the equator. |
| format |
Article |
| author |
Hajac, P.M. Zieliński, B. |
| spellingShingle |
Hajac, P.M. Zieliński, B. Nontrivial Deformation of a Trivial Bundle Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Hajac, P.M. Zieliński, B. |
| author_sort |
Hajac, P.M. |
| title |
Nontrivial Deformation of a Trivial Bundle |
| title_short |
Nontrivial Deformation of a Trivial Bundle |
| title_full |
Nontrivial Deformation of a Trivial Bundle |
| title_fullStr |
Nontrivial Deformation of a Trivial Bundle |
| title_full_unstemmed |
Nontrivial Deformation of a Trivial Bundle |
| title_sort |
nontrivial deformation of a trivial bundle |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146823 |
| citation_txt |
Nontrivial Deformation of a Trivial Bundle / P.M. Hajac, B. Zieliński // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT hajacpm nontrivialdeformationofatrivialbundle AT zielinskib nontrivialdeformationofatrivialbundle |
| first_indexed |
2023-05-20T17:25:44Z |
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2023-05-20T17:25:44Z |
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1796153270503211008 |