Infinitesimal deformation quantization of complex analytic spaces

Victor P. Palamodov

doi:10.1007/s11005-006-0139-6

Infinitesimal deformation quantization of complex analytic spaces

Victor P. Palamodov^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	131-142
Number of pages	12
Journal	Letters in Mathematical Physics
Volume	79
Issue number	2
DOIs	https://doi.org/10.1007/s11005-006-0139-6
State	Published - Feb 2007

Keywords

Analytic Hochschild cohomology
Analytic algebra
Complex analytic space
Jacobi bracket
Poisson bracket

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10.1007/s11005-006-0139-6

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KW - Analytic algebra

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KW - Jacobi bracket

KW - Poisson bracket

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Infinitesimal deformation quantization of complex analytic spaces

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Keywords

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