Bott Connection and Generalized Functions on Poisson Manifold

Details Bott Connection and Generalized Functions on Poisson Manifold Bott Connection and Generalized Functions on Poisson Manifold

2003-01-31

arxiv.org/abs/math/0301364v1

Mathematics

Symplectic Geometry

19 pages

Scientific paper

We extend the problem of finding Hamiltonian-invariant volume forms on a Poisson manifold to the problem of construction of Hamiltonian-invariant generalized functions. For this we introduce the notion of generalized center of a Poisson algebra, which is the space of generalized Casimir functions. We study as the case when the set of test-objects for generalized functions is the space of compactly supported smooth functions, so the case when the test-objects are n-forms, where n is the dimension of the Poisson manifold. We describe the relations of this problem with the homological properties of the Poisson structure, with Bott connection for the corresponding symplectic foliation and the modular class.

Affiliated with

Also associated with

No associations

Rating

Bott Connection and Generalized Functions on Poisson Manifold does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bott Connection and Generalized Functions on Poisson Manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bott Connection and Generalized Functions on Poisson Manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-564094