Noncommutative Geometry of Phase Space

Details Noncommutative Geometry of Phase Space Noncommutative Geometry of Phase Space

2002-03-18

arxiv.org/abs/math-ph/0203027v1

Physics

Mathematical Physics

57 pages

Scientific paper

We 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.

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