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Higher spectral flow and an entire bivariant JLO cocycle

Benameur, Moulay-Tahar; Carey, Alan


For a single Dirac operator on a closed manifold the cocycle introduced by Jaffe-Lesniewski-Osterwalder [19] (abbreviated here to JLO), is a representative of Connes' Chern character map from the K-theory of the algebra of smooth functions on the manifold to its entire cyclic cohomology. Given a smooth fibration of closed manifolds and a family of generalized Dirac operators along the fibers, we define in this paper an associated bivariant JLO cocycle. We then prove that, for any l ≥ 0, our...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
Source: Journal of K-Theory
DOI: 10.1017/is012008031jkt193


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