Deformation Quantization of Kahler Manifolds
Nicolai Reshetikhin, Leon Takhtajan
TL;DR
This paper provides an explicit formula for deformation quantization specifically tailored for Kähler manifolds, advancing the mathematical tools available for quantizing complex geometric structures.
Contribution
It introduces a new explicit formula for deformation quantization on Kähler manifolds, filling a gap in the mathematical understanding of quantization in complex geometry.
Findings
Derived an explicit formula for deformation quantization on Kähler manifolds
Enhanced mathematical framework for quantizing complex geometric structures
Potential applications in mathematical physics and complex geometry
Abstract
We present an explicit formula for the deformation quantization on K\"{a}hler manifolds.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Geometry and complex manifolds