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Exotic deformation quantization

V. Ovsienko
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Abstract

We consider formal deformations of the Poisson algebra of functions (with singularities) on $T^*M$ which are Laurent polynomials of fibers. Tn the case: $\dim M=1$ ($M=S^1, {\bf R}$), there exists a non-trivial $\star$-product on this algebra non-equivalent to the standard Moyal product.

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V. Ovsienko. 1995-12-14. Exotic deformation quantization. https://arxiv.org/abs/dg-ga/9512007

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