A transverse Chern character for compact Lie group actions

2022/11/08 by Rodsphon, Rudy
#Differential Geometry (math.DG) #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2211.03998

Abstract

This article aims to explore new perspectives offered by Kasparov's recent work on transverse index theory in the context of actions of compact Lie groups on a manifold, and hints at potential connections to the work of Berline-Vergne and Paradan-Vergne.

Related

• Desingularizing compact Lie group actions
• Index theory for actions of compact Lie groups on C*-algebras
• Compact groups and their representations
• Equivariant K-theory and the Chern character for discrete groups
• Degenerate Chern-Weil Theory and Equivariant Cohomology