An inductive explicit construction of *-products on some Poisson manifolds

Asin Lares, Santos

doi:10.1090/S0002-9939-99-05250-8

An inductive explicit construction of $*$-products on some Poisson manifolds
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Proc. Amer. Math. Soc. 128 (2000), 1853-1857 Request permission

Abstract:

We extend the Cahen Gutt coboundary construction on cotangent bundles of $n$-dimensional parallelisable manifolds to manifolds which admit $n$ global vector fields defining a parallelisation on a dense open set. This result is used to give an inductive explicit construction of $*$-products on certain Poisson manifolds.

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