Commutative Geometries are Spin Manifolds

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dc.creatorRennie, A.
dc.date1999-03-11
dc.date1999-10-28
dc.date.accessioned2026-07-07T04:32:44Z
dc.date.available2026-07-07T04:32:44Z
dc.descriptionIn [1], Connes presented axioms governing noncommutative geometry. He went on to claim that when specialised to the commutative case, these axioms recover spin or spin^c geometry depending on whether the geometry is ''real'' or not. We attempt to flesh out the details of Connes' ideas. As an illustration we present a proof of his claim, partly extending the validity of the result to pseudo-Riemannian spin manifolds. Throughout we are as explicit and elementary as possible.
dc.descriptionRe-tex to get references right. This is a revised version of a previously incorrect version. Changes to the central portion of proof are extensive. 48 pp
dc.identifierhttps://arxiv.org/abs/math-ph/9903021
dc.identifierhttp://arxiv.org/abs/math-ph/9903021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58300
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.titleCommutative Geometries are Spin Manifolds
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