Deformation Quantization of Kahler Manifolds

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Nicolai Reshetikhin , Leon Takhtajan This is my paper · ORCID

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keywords deformationmanifoldsquantizationexplicitformulahlerkahler

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We present an explicit formula for the deformation quantization on K\"{a}hler manifolds.

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Optimal Remainder Estimates in the Quantization of Complex Projective Spaces
math-ph 2025-08 conditional novelty 6.0 of 10

Berezin-Toeplitz quantization on CP^{d-1} admits remainder bounds controlled by the next expansion term, with sharp constants and minimal regularity.