Associative deformations of complex analytic spaces

Victor P. Palamodov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A theory of associative deformations is developed for general complex analytic spaces. Deformation-quantization and commutative deformation are particular cases of this concept. Deformation cohomology and obstruction are studied. It is proved that any compact analytic space has a formal versal associative deformation.

Original languageEnglish
Pages (from-to)191-217
Number of pages27
JournalLetters in Mathematical Physics
Issue number2-3
StatePublished - Dec 2007


  • Bracket operation
  • Deformation?quantization
  • Extension
  • Hochschild cohomology
  • Obstruction
  • Polydifferential operator
  • Resolution
  • Versal deformation


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