Noncommutative Hamiltonian dynamics on foliated manifolds
Differential Geometry
2009-12-11 v1 Dynamical Systems
Abstract
First, we review the notion of a Poisson structure on a noncommutative algebra due to Block-Getzler and Xu and introduce a notion of a Hamiltonian vector field on a noncommutative Poisson algebra. Then we describe a Poisson structure on a noncommutative algebra associated with a transversely symplectic foliation and construct a class of Hamiltonian vector fields associated with this Poisson structure.
Cite
@article{arxiv.0912.1923,
title = {Noncommutative Hamiltonian dynamics on foliated manifolds},
author = {Yuri A. Kordyukov},
journal= {arXiv preprint arXiv:0912.1923},
year = {2009}
}
Comments
13 pages