Index theorey and Non-Commutative Geometry. II. Dirac operators and index bundles

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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 $K-$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.

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Geometric Topology, K-Theory and Homology, Operator Algebras, 57R30

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http://salesiana.dossiersoluciones.com/handle/123456789/74947

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504385
 http://arxiv.org/abs/math/0504385

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arXiv