Superconnection and family Bergman kernels

作者:Ma Xiaonan*; Zhang Weiping
来源:Comptes Rendus Mathematique, 2007, 344(1): 41-44.
DOI:10.1016/j.crma.2006.11.013

摘要

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.