Noncommutative Rigidity

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dc.creatorHawkins, Eli
dc.date2002-11-13
dc.date2004-02-10
dc.date.accessioned2026-07-07T04:52:53Z
dc.date.available2026-07-07T04:52:53Z
dc.descriptionUsing very weak criteria for what may constitute a noncommutative geometry, I show that a pseudo-Riemannian manifold can only be smoothly deformed into noncommutative geometries if certain geometric obstructions vanish. These obstructions can be expressed as a system of partial differential equations relating the metric and the Poisson structure that describes the noncommutativity. I illustrate this by computing the obstructions for well known examples of noncommutative geometries and quantum groups. These rigid conditions may cast doubt on the idea of noncommutatively deformed space-time.
dc.description27 pages. Serious typo corrected from v3
dc.identifierhttps://arxiv.org/abs/math/0211203
dc.identifierhttp://arxiv.org/abs/math/0211203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65637
dc.subjectQuantum Algebra
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subject58B34; 46L65; 53D17
dc.titleNoncommutative Rigidity
dc.typetext

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