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Abstract: We study the Berezin-Toeplitz quantization on Kaehler manifolds. We explainfirst how to compute various associated asymptotic expansions, then we computeexplicitly the first terms of the expansion of the kernel of theBerezin-Toeplitz operators, and of the composition of two Berezin-Toeplitzoperators. As application we estimate the norm of Donaldson-s Q-operator.



Author: Xiaonan Ma, George Marinescu

Source: https://arxiv.org/







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