Equivariant Chern Weil Forms and The Families Index Theorem
Differential Geometry
2022-08-12 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2208.05521,
title = {Equivariant Chern Weil Forms and The Families Index Theorem},
author = {Richard Wedeen},
journal= {arXiv preprint arXiv:2208.05521},
year = {2022}
}