Exotic deformation quantization

1995/12/14 by V. Ovsienko, Ovsienko, V.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9512007

15 pages, also available via anonymous ftp at ftp://cpt.univ-mrs.fr/ or gopher://cpt.univ-mrs.fr/

arxiv created 1995/12/14 · arxiv updated 2009/11/30

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=S¹, \bf R), there exists a non-trivial ⋆-product on this algebra non-equivalent to the standard Moyal product.

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