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math-ph2002
The Characteristic Class of a Lie Algebra Ideal, Contact Structures and the Poisson Algebra of Basic Functions
Zakaria Giunashvili
Some cohomology classes associated with an ideal in a Lie algebra, a Poisson structure on the basic functions algebra of contact structure, its Poisson cohomology and geometric (pr…
math-ph2002
Noncommutative Geometry of Phase Space
Zakaria Giunashvili
We investigate the geometric, algebraic and homologic structures related with Poisson structure on a smooth manifold. Introduce a noncommutative foundations of these structures for…
math-ph2001
The Canonical Differential Complex of Poisson Manifold and Distributions
Zakaria Giunashvili
We study variuos homological structures associated with Poisson algebra, the canonical differential complex for singular Poisson structure and the analogue of the star operator for…