Some aspects of braided geometry: differential calculus, tangent space, gauge theory

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dc.creatorAkueson, P.
dc.creatorGurevich, D.
dc.date1999-06-22
dc.date.accessioned2026-07-07T10:54:18Z
dc.date.available2026-07-07T10:54:18Z
dc.descriptionA new approach is suggested to quantum differential calculus on certain quantum varieties. It consists in replacing quantum de Rham complexes with differentials satisfying Leibniz rule by those which are in a sense close to Koszul complexes from \cite{G1}. We also introduce the tangent space on a quantum hyperboloid equipped with an action on the quantum function space and define the notions of quantum (pseudo)metric and quantum connection (partially defined) on it. All objects are considered from the viewpoint of flatness of quantum deformations. A problem of constructing a flatly deformed quantum gauge theory is discussed as well.
dc.description19 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/9906144
dc.identifierhttp://arxiv.org/abs/math/9906144
dc.identifierJ.Phys.A32:4183-4197,1999
dc.identifierdoi:10.1088/0305-4470/32/23/301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185762
dc.subjectQuantum Algebra
dc.titleSome aspects of braided geometry: differential calculus, tangent space, gauge theory
dc.typetext

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