Superconnection and family Bergman kernels

Details Superconnection and family Bergman kernels Superconnection and family Bergman kernels

2006-07-18

arxiv.org/abs/math/0607404v1

Mathematics

Differential Geometry

C. R. Math. Acad. Sci. Paris

Scientific paper

We establish an asymptotic expansion for families of Bergman kernels. The key
idea is to use the superconnection as in the local family index theorem.

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