Acta Mathematica

Volume 218 (2017)

Number 1

Equivariant Dirac operators and differentiable geometric invariant theory

Pages: 137 – 199

DOI: https://dx.doi.org/10.4310/ACTA.2017.v218.n1.a3

Authors

Paul-Emile Paradan (CNRS UMR 5149, Institut Montpelliérain A. Grothendieck, Université de Montpellier, France)

Michèle Vergne (CNRS UMR 7586, Institut de Mathématiques de Jussieu, Université Paris 7, Paris, France)

Abstract

In this paper, we give a geometric expression for the multiplicities of the equivariant index of a spin$^c$ Dirac operator.

Received 14 December 2015

Accepted 2 December 2016

Published 13 September 2017