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On a formula of Gammelgaard for Berezin-Toeplitz quantization

Quantum Algebra 2013-03-27 v1 Mathematical Physics math.MP

Abstract

We give a proof of a slightly refined version of Gammelgaard's graph theoretic formula for Berezin-Toeplitz quantization on (pseudo-)Kaehler manifolds. Our proof has the merit of giving an alternative approach to Karabegov-Schlichenmaier's identification theorem. We also identify the dual Karabegov-Bordemann-Waldmann star product.

Keywords

Cite

@article{arxiv.1204.2259,
  title  = {On a formula of Gammelgaard for Berezin-Toeplitz quantization},
  author = {Hao Xu},
  journal= {arXiv preprint arXiv:1204.2259},
  year   = {2013}
}

Comments

18 pages

R2 v1 2026-06-21T20:47:36.302Z