Nontrivial Deformation of a Trivial Bundle

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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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dc.contributor.author	Hajac, P.M.
dc.contributor.author	Zieliński, B.
dc.date.accessioned	2019-02-11T16:33:28Z
dc.date.available	2019-02-11T16:33:28Z
dc.date.issued	2014
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 58B32
dc.identifier.other	DOI:10.3842/SIGMA.2014.031
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146823
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html. The authors are grateful to Tomasz Brzezi´nski for discussions, and to the referees for careful proofreading of the manuscript. This work was partially supported by the NCN-grant 2011/01/B/ST1/06474.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Nontrivial Deformation of a Trivial Bundle	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA