Noncommutative Geometry of Phase Space
数学物理
2007-05-23 v1 动力系统
math.MP
辛几何
摘要
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.
引用
@article{arxiv.math-ph/0203027,
title = {Noncommutative Geometry of Phase Space},
author = {Zakaria Giunashvili},
journal= {arXiv preprint arXiv:math-ph/0203027},
year = {2007}
}
备注
57 pages