arXiv:2211.03998 Abstract | arXiv Analytics

arXiv:2211.03998 [math.DG]Abstract References Reviews Resources

A transverse Chern character for compact Lie group actions

Published 2022-11-08Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:2011.00643

Categories: math.DG, math.KT, math.OA

Keywords: compact lie group actions, transverse chern character, transverse index theory, potential connections, article aims

Related articles: Most relevant | Search more

arXiv:math/9806109 [math.DG] (Published 1998-06-19)

Hopf algebras, cyclic cohomology and the transverse index theory

Alain Connes, Henri Moscovici

arXiv:1207.0595 [math.DG] (Published 2012-07-03, updated 2013-10-24)

Stratifications of inertia spaces of compact Lie group actions

Carla Farsi, Markus J. Pflaum, Christopher Seaton

arXiv:math/9911024 [math.DG] (Published 1999-11-04, updated 2001-05-23)

Localization of the Riemann-Roch character