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An inductive explicit construction of  -products on some Poisson manifolds
Author(s):
Santos
Asin Lares
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1853-1857.
MSC (1991):
Primary 58F06, 53Z05;
Secondary 81Q99.
Posted:
September 30, 1999
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Abstract:
We extend the Cahen Gutt coboundary construction on cotangent bundles of  -dimensional parallelisable manifolds to manifolds which admit  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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Additional Information:
Santos
Asin Lares
Affiliation:
Mathematical Institute, University of Warwick, CV4-7AL, United Kingdom
Email:
asin@maths.warwick.ac.uk
DOI:
10.1090/S0002-9939-99-05250-8
PII:
S 0002-9939(99)05250-8
Keywords:
$*$-product,
deformation quantization
Received by editor(s):
July 21, 1998
Posted:
September 30, 1999
Additional Notes:
The author was supported by a grant from the University of Warwick.
Communicated by:
Peter Li
Copyright of article:
Copyright
2000,
American Mathematical Society
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