Author:
Benameur Moulay-Tahar,Heitsch James L.
Abstract
AbstractWhen the index bundle of a longitudinal Dirac type operator is transversely smooth, we define its Chern character in Haefliger cohomology and relate it to the Chern character of the K—theory index. This result gives a concrete connection between the topology of the foliation and the longitudinal index formula. Moreover, the usual spectral assumption on the Novikov-Shubin invariants of the operator is improved.
Publisher
Cambridge University Press (CUP)
Subject
Geometry and Topology,Algebra and Number Theory
Reference30 articles.
1. Bismut superconnections and the Chern character for Dirac operators on foliated manifolds
2. BH06. Benameur M-T. and Heitsch J. L. , The Higher Harmonic Signatures for Foliations I: the Untwisted Case, submitted
3. Local index theory over étale groupoids;Gorokhovsky;J. Reine Angew. Math.,2003
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献