Product formula for Atiyah-Patodi-Singer index classes and higher signatures

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dc.creatorWahl, Charlotte
dc.date2008-11-01
dc.date2009-04-14
dc.date.accessioned2026-07-07T13:03:06Z
dc.date.available2026-07-07T13:03:06Z
dc.descriptionWe define generalized Atiyah-Patodi-Singer boundary conditions of product type for Dirac operators associated to C*-vector bundles on the product of a compact manifold with boundary and a closed manifold. We prove a product formula for the K-theoretic index classes, which we use to generalize the product formula for the topological signature to higher signatures.
dc.description33 pages; revised and expanded, for the odd signature class more general definition (depending on a Lagrangian) used
dc.identifierhttps://arxiv.org/abs/0811.0091
dc.identifierhttp://arxiv.org/abs/0811.0091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226681
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.subject58J32;19K56;57R20
dc.titleProduct formula for Atiyah-Patodi-Singer index classes and higher signatures
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