A closed formula for the asymptotic expansion of the Bergman kernel [PDF]
Hao XuWe prove a graph theoretic closed formula for coefficients in the Tian-Yau-Zelditch asymptotic expansion of the Bergman kernel. The formula is expressed in terms of the characteristic polynomial of the directed graphs representing Weyl invariants. The proof relies on a combinatorial interpretation of a recursive formula due to M. Englis and A. Loi.View original: http://arxiv.org/abs/1103.3060
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