On a formula of Gammelgaard for Berezin-Toeplitz quantization
Hao Xu
TL;DR
This paper refines Gammelgaard's graph theoretic formula for Berezin-Toeplitz quantization on (pseudo-)Kaehler manifolds, offering an alternative proof and identifying related star products.
Contribution
It provides a refined proof of Gammelgaard's formula and an alternative approach to the Karabegov-Schlichenmaier identification theorem.
Findings
Refined proof of Gammelgaard's graph formula
Alternative approach to identification theorem
Identification of the dual Karabegov-Bordemann-Waldmann star product
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.
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