What is recorded here?
Proved that every finite-dimensional Poisson manifold admits a deformation quantization and established the broader formality result relating polyvector fields to the Hochschild complex.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is Kontsevich’s sole-author paper published in 2003 after a 1997 preprint. It does not absorb earlier deformation-quantization definitions, later proofs and extensions or all applications to representation theory and mathematical physics.
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People and systems
Maxim Kontsevich
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Research locations and affiliations
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Documented countries / regions: France
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English catalogue narrative
Kontsevich: deformation quantization of Poisson manifolds
Proved that every finite-dimensional Poisson manifold admits a deformation quantization and established the broader formality result relating polyvector fields to the Hochschild complex.
Scientific scope
The record is Kontsevich’s sole-author paper published in 2003 after a 1997 preprint. It does not absorb earlier deformation-quantization definitions, later proofs and extensions or all applications to representation theory and mathematical physics.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Maxim Kontsevich
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.