Exotic deformation quantization

Abstract

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

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