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• W3100305669 abstract "The authors express the Connes-Chern of the Dirac operator associated to a b-metric on a manifold with boundary in terms of a retracted cocycle in relative cyclic cohomology, whose expression depends on a scaling/cut-off parameter. Blowing-up the metric one recovers the pair of characteristic currents that represent the corresponding de Rham relative homology class, while the blow-down yields a relative cocycle whose expression involves higher eta cochains and their b-analogues. The corresponding pairing formulae, with relative K-theory classes, capture information about the boundary and allow to derive geometric consequences. As a by-product, the authors show that the generalized Atiyah-Patodi-Singer pairing introduced by Getzler and Wu is necessarily restricted to almost flat bundles." @default.
• W3100305669 created "2020-11-23" @default.
• W3100305669 creator A5022496220 @default.
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• W3100305669 date "2012-10-28" @default.
• W3100305669 modified "2023-10-11" @default.
• W3100305669 title "Connes-Chern Character for Manifolds With Boundary and Eta Cochains" @default.
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• W3100305669 hasPublicationYear "2012" @default.
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