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Quantization of Poisson structures on 
Author:
Dmitry Tamarkin
Journal:
Electron. Res. Announc. Amer. Math. Soc. 3 (1997), 119-120
MSC (1991):
Primary 81Sxx
Posted:
November 4, 1997
MathSciNet review:
1476067
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Abstract: An `isomorphism' between the `moduli space' of star products on  and the `moduli space' of all formal Poisson structures on  is established.
- 1.
F.
Bayen, M.
Flato, C.
Fronsdal, A.
Lichnerowicz, and D.
Sternheimer, Deformation theory and quantization. I. Deformations
of symplectic structures, Ann. Physics 111 (1978),
no. 1, 61–110. MR 0496157
(58 #14737a)
F.
Bayen, M.
Flato, C.
Fronsdal, A.
Lichnerowicz, and D.
Sternheimer, Deformation theory and quantization. II. Physical
applications, Ann. Physics 111 (1978), no. 1,
111–151. MR 0496158
(58 #14737b)
- 2.
M. Kontsevich, Formality conjecture, preprint, to appear in Proc. of Summer School on Deformation Quantization in Ascona.
- 1.
- F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Deformation theory and quantization, I, II, Ann. Phys. 11 (1978), 61-151. MR 58:14737a, MR 58:14737b
- 2.
- M. Kontsevich, Formality conjecture, preprint, to appear in Proc. of Summer School on Deformation Quantization in Ascona.
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Additional Information
Dmitry Tamarkin
Affiliation:
Department of Mathematics, Pennsylvania State University, 218 McAllister Building, University Park, PA 16802
Email:
tamarkin@math.psu.edu
DOI:
http://dx.doi.org/10.1090/S1079-6762-97-00034-6
PII:
S 1079-6762(97)00034-6
Received by editor(s):
September 2, 1997
Posted:
November 4, 1997
Communicated by:
Alexandre Kirillov
Article copyright:
© Copyright 1997 American Mathematical Society
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