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Noncommutative Hamiltonian dynamics on foliated manifolds

Le : 23/06/2011 14h15
Par : Yuri KORDYUKOV (Institut de Mathématiques Acad. Sci. Russie et GEANPYL)
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Lien web :
Résumé : First, we review the notion of Poisson structure on a noncommutative algebra due to Block-Getzler and Xu and introduce a notion of 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.