论文标题
chern weil形式和家庭指数定理
Equivariant Chern Weil Forms and The Families Index Theorem
论文作者
论文摘要
我们将均等原则应用于克利福德模块束的几何家族,并采用紧凑的谎言组的作用,以证明Bismut家族的dearem index定理的等效版本是关于几何家族的差异borel的。
We apply the equivariance --> families principle to a geometric family of Clifford module bundles with an action of a compact Lie group G to prove an equivariant version of Bismut's families index theorem on the differential Borel quotient of the geometric family.