Noncommutative Geometry of Phase Space

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dc.creatorGiunashvili, Zakaria
dc.date2002-03-18
dc.date.accessioned2026-07-07T04:29:03Z
dc.date.available2026-07-07T04:29:03Z
dc.descriptionWe investigate the geometric, algebraic and homologic structures related with Poisson structure on a smooth manifold. Introduce a noncommutative foundations of these structures for a Poisson algebra. Introduce and investigate noncommutative Bott connection on a foliated manifold using the algebraic definition of submanifold and quotient manifold. Develop an algebraic construction for the reduction of a degenerated Poisson algebra.
dc.description57 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0203027
dc.identifierhttp://arxiv.org/abs/math-ph/0203027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57016
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.subject81T75; 53D17
dc.titleNoncommutative Geometry of Phase Space
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