Abstract
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 language | English |
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Pages (from-to) | 191-217 |
Number of pages | 27 |
Journal | Letters in Mathematical Physics |
Volume | 82 |
Issue number | 2-3 |
DOIs | |
State | Published - Dec 2007 |
Keywords
- Bracket operation
- Deformation?quantization
- Extension
- Hochschild cohomology
- Obstruction
- Polydifferential operator
- Resolution
- Versal deformation