• Corpus ID: 251493210

Equivariant Chern Weil Forms and The Families Index Theorem

  title={Equivariant Chern Weil Forms and The Families Index Theorem},
  author={Richard Wedeen},
. 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. 




This is a black American’s perspective on black theology in South Africa. Therefore, as a concept paper, it does not pretend to be decisive. Clearly those black theologians "on the ground" are best

Heat Kernels and Dirac Operators

The past few years have seen the emergence of new insights into the Atiyah-Singer Index Theorem for Dirac operators. In this book, elementary proofs of this theorem, and some of its more recent


  • On equivariant chern-weil forms and determinant lines,
  • 2016

Communications in Mathematical Physics

VoI.293:R.A.DeVore: The Approximation of Continous Functions by Positive Linear Operators VIII, 289 pages. 1972 DM 24,-; US $7.70 Vol.294: Stability of Stochastic Dynamical Systems Proceedings of the


The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs

SummaryThe purpose of this paper is to give two heat equation proofs of the Index Theorem of Atiyah-Singer for a family of Dirac operators.

The analysis of elliptic families. I. Metrics and connections on determinant bundles

In this paper, we construct the Quillen metric on the determinant bundle associated with a family of elliptic first order differential operators. We also introduce a unitary connection on λ and

On equivariant Chern-Weil forms and determinant lines

A strong from of invariance under a group G is manifested in a family over the classifying space BG. We advocate a differential-geometric avatar of BG when G is a Lie group. Applied to G-equivariant