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Electronic Research Announcements

ISSN 1079-6762



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
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.

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Dmitry Tamarkin
Affiliation: Department of Mathematics, Pennsylvania State University, 218 McAllister Building, University Park, PA 16802

Received by editor(s): September 2, 1997
Published electronically: November 4, 1997
Communicated by: Alexandre Kirillov
Article copyright: © Copyright 1997 American Mathematical Society