Superconnection and family Bergman kernels

Xiaonan Ma (1) , Weiping Zhang (2)

1 CMLS - Centre de Mathématiques Laurent Schwartz
2 CIM - Chern Institute of Mathematics

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.

Mots clés: Superconnection; Bergman kernel

Domaines: Géométrie différentielle [math.DG]

Xiaonan Ma, Weiping Zhang. Superconnection and family Bergman kernels. 2006. ⟨hal-00085858⟩