Equivariant Chern Weil Forms and The Families Index Theorem

Richard Wedeen

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arXiv · 2208.05521

Equivariant Chern Weil Forms and The Families Index Theorem

Richard Wedeen

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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.

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Richard Wedeen. 2022-08-10. Equivariant Chern Weil Forms and The Families Index Theorem. https://arxiv.org/abs/2208.05521

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