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math.QAJul 26, 1999
23
citations (OpenAlex)
authors
  • Nicolai Reshetikhin
  • Leon Takhtajan
arXiv abstractPDF
paper

Deformation Quantization of Kahler Manifolds

arXiv:math/9907171

Abstract

We present an explicit formula for the deformation quantization on Kähler manifolds.

18 pages, 6 figures

Cited by in corpus (13)

  • A closed formula for the asymptotic expansion of the Bergman kernel
  • D0-branes in Black Hole Attractors
  • Wick type deformation quantization of Fedosov manifolds
  • Generalized Berezin quantization, Bergman metrics and fuzzy Laplacians
  • Noncommutative solitons on Kahler manifolds
  • A Universal Formula for Deformation Quantization on Kähler Manifolds
  • Normalized Weyl-type ⋆-product on Kähler manifolds
  • Weyl invariant polynomial and deformation quantization on Kahler manifolds
  • On Gammelgaard's formula for a star product with separation of variables
  • Deformation quantization with separation of variables of an endomorphism bundle
  • A Survey of Noncommutative Chern Characters
  • Quantum maps and automorphisms
  • Riemann-Roch Theorem and Index Theorem in Non-commutative Geometry
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