The relative Mishchenko-Fomenko higher index and almost flat bundles. I: The relative Mishchenko-Fomenko index

DOI10.4171/JNCG/391zbMath1469.19010arXiv1807.03181OpenAlexW3097234574MaRDI QIDQ2032782

Yosuke Kubota

Publication date: 14 June 2021

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03181

zbMATH Keywords

partitioned manifoldKK-theoryalmost flat bundlepositive scalar curvature metricMischenko-Fomenko line bundlerelative group $C^\ast$-algebrarelative higher index

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Boundary value problems on manifolds (58J32) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56)

Related Items (6)

The relative Mishchenko-Fomenko higher index and almost flat bundles. II: Almost flat index pairing ⋮ Almost flat relative vector bundles and the almost monodromy correspondence ⋮ \(K\)-theory of relative group \(C^*\)-algebras and the relative Novikov conjecture ⋮ Codimension 2 transfer of higher index invariants ⋮ Width, largeness and index theory ⋮ Obstructions to matricial stability of discrete groups and almost flat $K$-theory

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