Skip navigation
Skip navigation

Higher spectral flow and an entire bivariant JLO cocycle

Benameur, Moulay-Tahar; Carey, Alan

Description

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
URI: http://hdl.handle.net/1885/71599
Source: Journal of K-Theory
DOI: 10.1017/is012008031jkt193

Download

File Description SizeFormat Image
01_Benameur_Higher_spectral_flow_and_an_2013.pdf342.93 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator