Index theorey and Non-Commutative Geometry. II. Dirac operators and index bundles
Geometric Topology
2007-05-23 v1 K-Theory and Homology
Operator Algebras
Abstract
When 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 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.
Keywords
Cite
@article{arxiv.math/0504385,
title = {Index theorey and Non-Commutative Geometry. II. Dirac operators and index bundles},
author = {Moulay Benameur and James Heitsch},
journal= {arXiv preprint arXiv:math/0504385},
year = {2007}
}