Dirac operators on all Podles quantum spheres

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dc.creatorDabrowski, Ludwik
dc.creatorD'Andrea, Francesco
dc.creatorLandi, Giovanni
dc.creatorWagner, Elmar
dc.date2006-06-20
dc.date2007-01-22
dc.date.accessioned2026-07-07T07:50:37Z
dc.date.available2026-07-07T07:50:37Z
dc.descriptionWe construct spectral triples on all Podles quantum spheres. These noncommutative geometries are equivariant for a left action of $U_q(su(2))$ and are regular, even and of metric dimension 2. They are all isospectral to the undeformed round geometry of the 2-sphere. There is also an equivariant real structure for which both the commutant property and the first order condition for the Dirac operators are valid up to infinitesimals of arbitrary order.
dc.description24 pages, no figures; v2: minor corrections
dc.identifierhttps://arxiv.org/abs/math/0606480
dc.identifierhttp://arxiv.org/abs/math/0606480
dc.identifierJ. Noncomm. Geom. 1 (2007) 213-239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125223
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subject58B34, 17B37
dc.titleDirac operators on all Podles quantum spheres
dc.typetext

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