Infinitesimal deformation quantization of complex analytic spaces

Victor P. Palamodov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)131-142
Number of pages12
JournalLetters in Mathematical Physics
Issue number2
StatePublished - Feb 2007


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


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