Existence of Natural and Projectively Equivariant Quantizations

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dc.creatorHansoul, S.
dc.date2006-01-21
dc.date.accessioned2026-07-07T06:59:09Z
dc.date.available2026-07-07T06:59:09Z
dc.descriptionWe study the existence of natural and projectively equivariant quantizations for differential operators acting between order 1 vector bundles over a smooth manifold M. To that aim, we make use of the Thomas-Whitehead approach of projective structures and construct a Casimir operator depending on a projective Cartan connection. We attach a scalar parameter to every space of differential operators, and prove the existence of a quantization except when this parameter belongs to a discrete set of resonant values.
dc.description27 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0601518
dc.identifierhttp://arxiv.org/abs/math/0601518
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107643
dc.subjectDifferential Geometry
dc.subject58A05, 53B05, 46L65, 58J70
dc.titleExistence of Natural and Projectively Equivariant Quantizations
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