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An Explicit Formula for the Berezin Star Product

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Abstract

We prove an explicit formula of the Berezin star product on Kähler manifolds. The formula is expressed as a summation over certain strongly connected digraphs. The proof relies on a combinatorial interpretation of Engliš’ work on the asymptotic expansion of the Laplace integral.

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  1. Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

    Hao Xu

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  1. Hao Xu
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Xu, H. An Explicit Formula for the Berezin Star Product. Lett Math Phys 101, 239–264 (2012). https://doi.org/10.1007/s11005-012-0552-y

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  • DOI: https://doi.org/10.1007/s11005-012-0552-y

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