On a formula of Gammelgaard for Berezin-Toeplitz quantization

Details On a formula of Gammelgaard for Berezin-Toeplitz quantization On a formula of Gammelgaard for Berezin-Toeplitz quantization

2012-04-10

arxiv.org/abs/1204.2259v1

Mathematics

Quantum Algebra

18 pages

Scientific paper

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.

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