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Kontsevich: deformation quantization of Poisson manifolds

Contribution grade

Algebra · METHOD

Reference score300,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Proved existence of deformation quantization for finite-dimensional Poisson manifolds via a stronger formality result.

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.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. 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.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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