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arXiv · 1204.2259

On a formula of Gammelgaard for Berezin-Toeplitz quantization

Hao Xu
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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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Hao Xu. 2012-04-10. On a formula of Gammelgaard for Berezin-Toeplitz quantization. https://doi.org/10.1007/s11005-012-0585-2

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