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

dc.creatorBenameur, Moulay
dc.creatorHeitsch, James
dc.date2005-04-19
dc.date.accessioned2026-07-07T05:19:14Z
dc.date.available2026-07-07T05:19:14Z
dc.descriptionWhen 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.
dc.identifierhttps://arxiv.org/abs/math/0504385
dc.identifierhttp://arxiv.org/abs/math/0504385
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74947
dc.subjectGeometric Topology
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject57R30
dc.titleIndex theorey and Non-Commutative Geometry. II. Dirac operators and index bundles
dc.typetext

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