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Nontrivial Deformation of a Trivial Bundle

Vernadsky National Library of Ukraine

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Title Nontrivial Deformation of a Trivial Bundle
 
Creator Hajac, P.M.
Zieliński, B.
 
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.
 
Date 2019-02-11T16:33:28Z
2019-02-11T16:33:28Z
2014
 
Type Article
 
Identifier 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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України