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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.


References [Enhancements On Off] (What's this?)

  • 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: https://doi.org/10.1090/S1079-6762-97-00034-6
Received by editor(s): September 2, 1997
Published electronically: November 4, 1997
Communicated by: Alexandre Kirillov
Article copyright: © Copyright 1997 American Mathematical Society

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