On a formula of Gammelgaard for Berezin-Toeplitz quantization

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.

arXiv comment18 pages

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Cited by in corpus (5)

• A closed formula for the asymptotic expansion of the Bergman kernel
• On the composition of Berezin-Toeplitz operators on symplectic 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