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## Quantization of Poisson structures on $\mathbf R^2

### Dmitry Tamarkin

**Abstract.**
An `isomorphism' between the `moduli space' of
star products on $\R^2$ and the `moduli space' of all
formal Poisson structures on $\R^2$ is established.

*Copyright 1997 American Mathematical Society*

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#### Article Info

- ERA Amer. Math. Soc.
**03** (1997), pp. 119-120
- Publisher Identifier: S 1079-6762(97)00034-6
- 1991
*Mathematics Subject Classification*. Primary 81Sxx
- Received by the editors September 2, 1997
- Posted on November 4, 1997
- Communicated by Alexandre Kirillov
- Comments (When Available)

**Dmitry Tamarkin**

Department of Mathematics, Pennsylvania State University,
218 McAllister Building, University Park, PA 16802

*E-mail address:* `tamarkin@math.psu.edu`

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