Nontrivial Deformation of a Trivial Bundle

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dc.contributor.authorHajac, P.M.
dc.contributor.authorZieliński, B.
dc.date.accessioned2019-02-11T16:33:28Z
dc.date.available2019-02-11T16:33:28Z
dc.date.issued2014
dc.description.abstractThe 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.sponsorshipThis 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.identifier.citationNontrivial 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 58B32
dc.identifier.otherDOI:10.3842/SIGMA.2014.031
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146823
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleNontrivial Deformation of a Trivial Bundleuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік