The multiplicities of the equivariant index of twisted Dirac operators

2014/04/08 by Paradan, Paul-Emile, Vergne, Michèle
#Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1404.2003

Abstract

In this note, we give a geometric expression for the multiplicities of the equivariant index of a Dirac operator twisted by a line bundle.

Related

• Equivariant Dirac operators and differentiable geometric invariant\n theory
• The equivariant index of twisted dirac operators and semi-classical limits
• The index theorem of lattice Wilson--Dirac operators via higher index theory
• Coarse indices of twisted operators
• The Index Bundle for a Family of Dirac-Ramond Operators