2002/03/18 by Zakaria Giunashvili, Giunashvili, Zakaria
Mathematics · Physics and Astronomy · #53D17 #81T75 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG) #math-ph #math.DS #math.MP #math.SG #msc:53D17 #msc:81T75
paper · pdf · doi:10.48550/arxiv.math-ph/0203027
57 pages
arxiv created 2002/03/18 · openalex publication_date 2002/03/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.