Superconnection and family Bergman kernels

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Abstract

We establish an asymptotic expansion for families of Bergman kernels. The key idea is to use the superconnection formalism as in the local family index theorem. To cite this article: X. Ma, W. Zhang, C. R. Acad. Sci. Paris, Ser. I 344 (2007). © 2006 Académie des sciences.

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Ma, X., & Zhang, W. (2007). Superconnection and family Bergman kernels. Comptes Rendus Mathematique, 344(1), 41–44. https://doi.org/10.1016/j.crma.2006.11.013

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