Quantization of Poisson structures on $\mathbf R^2$
Author:
Dmitry Tamarkin
Journal:
Electron. Res. Announc. Amer. Math. Soc. 3 (1997), 119-120
MSC (1991):
Primary 81Sxx
DOI:
https://doi.org/10.1090/S1079-6762-97-00034-6
Published electronically:
November 4, 1997
MathSciNet review:
1476067
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Abstract: An ‘isomorphism’ between the ‘moduli space’ of star products on $\mathbf {R}^2$ and the ‘moduli space’ of all formal Poisson structures on $\mathbf {R}^2$ is established.
- 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 496157, DOI https://doi.org/10.1016/0003-4916%2878%2990224-5
- M. Kontsevich, Formality conjecture, preprint, to appear in Proc. of Summer School on Deformation Quantization in Ascona.
- F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Deformation theory and quantization, I, II, Ann. Phys. 11 (1978), 61–151. , MR 58:14737b
- 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
Received by editor(s):
September 2, 1997
Published electronically:
November 4, 1997
Communicated by:
Alexandre Kirillov
Article copyright:
© Copyright 1997
American Mathematical Society
