Higher spectral flow and an entire bivariant JLO cocycle
For a single Dirac operator on a closed manifold the cocycle introduced by Jaffe-Lesniewski-Osterwalder  (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]
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