English

A Universal Formula for Deformation Quantization on K\"ahler Manifolds

Mathematical Physics 2014-08-21 v2 Differential Geometry math.MP Quantum Algebra

Abstract

We give an explicit local formula for any formal deformation quantization, with separation of variables, on a K\"ahler manifold. The formula is given in terms of differential operators, parametrized by acyclic combinatorial graphs.

Keywords

Cite

@article{arxiv.1005.2094,
  title  = {A Universal Formula for Deformation Quantization on K\"ahler Manifolds},
  author = {Niels Leth Gammelgaard},
  journal= {arXiv preprint arXiv:1005.2094},
  year   = {2014}
}

Comments

20 pages, 8 figures

R2 v1 2026-06-21T15:21:56.578Z