Exotic deformation quantization (Q1364628)

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Exotic deformation quantization
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    Exotic deformation quantization (English)
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    29 January 1998
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    We consider formal deformations of the Poisson algebra of functions (with singularities) on \(T^*M\) which are Laurent polynomials on fibers. In the case \(\dim M=1\) \((M= S^1\), \(\mathbb{R}\) or complex upper half-plane), there exists a nontrivial *-product on this algebra which is not equivalent to the standard Moyal *-product.
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    deformation quantization
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    cohomology
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    Lie algebras of vector fields
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