Infinitesimal Deformation Quantization of Complex Analytic Spaces

Author: Palamodov, Victor

Source: Letters in Mathematical Physics, Volume 79, Number 2, February 2007 , pp. 131-142(12)

Publisher: Springer

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Abstract:

The quantization problem for analytic algebras and for complex analytic spaces is discussed. The construction of Hochschild cohomology is modified for this category. It is proved that this cohomology is always a coherent analytic sheaf in each degree.

Keywords: 53D55; 81S10; 81T170; 16E40; 13D10; Poisson bracket; Jacobi bracket; analytic algebra; analytic Hochschild cohomology; complex analytic space

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s11005-006-0139-6

Affiliations: 1: Email: palamodo@post.tau.ac.il

Publication date: 2007-02-01