Deformation Quantization of Surjective Submersions and Principal Fibre Bundles

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dc.creatorBordemann, Martin
dc.creatorNeumaier, Nikolai
dc.creatorWaldmann, Stefan
dc.creatorWeiss, Stefan
dc.date2007-11-19
dc.date2007-12-20
dc.date.accessioned2026-07-07T08:50:14Z
dc.date.available2026-07-07T08:50:14Z
dc.descriptionIn this paper we establish a notion of deformation quantization of a surjective submersion which is specialized further to the case of a principal fibre bundle: the functions on the total space are deformed into a right module for the star product algebra of the functions on the base manifold. In case of a principal fibre bundle we require in addition invariance under the principal action. We prove existence and uniqueness of such deformations. The commutant within all differential operators on the total space is computed and gives a deformation of the algebra of vertical differential operators. Applications to noncommutative gauge field theories and phase space reduction of star products are discussed.
dc.description32 pages, typos corrected
dc.identifierhttps://arxiv.org/abs/0711.2965
dc.identifierhttp://arxiv.org/abs/0711.2965
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144535
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject53D55
dc.titleDeformation Quantization of Surjective Submersions and Principal Fibre Bundles
dc.typetext

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