Equivalence of Star-products on Symplectic Manifolds
by
Augustin Batubenge
University of Cape Town

Besides properties related to the Hochschild cohomology of a symplectic manifold, model used in analytical dynamics with applications in quantum theory, this paper also shows the equivalence of two differential star-products, more specifically that every differential star-product of two functions u and v on a symplectic manifold is equivalent to one whose linear term is half of the Poisson bracket of these functions, i.e. 1/2u, v.

Date received: March 6, 2002