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The coarse index class with support

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arxiv 1706.06959 v2 pith:HAXYHLYJ submitted 2017-06-21 math.DG math.KT

Ulrich Bunke , Alexander Engel This is my paper · ORCID
classification math.DGmath.KT
keywords coarseindexclasssupportactioncompatibilitycompletecondition
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abstract

We construct the coarse index class with support condition (as an element of coarse $K$-homology) of an equivariant Dirac operator on a complete Riemannian manifold endowed with a proper, isometric action of a group. We further show a coarse relative index theorem and discuss the compatibility of the index with the suspension isomorphism.

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  1. Branched coarse coverings and transfer maps

    math.AT 2025-02 conditional novelty 8.0 of 10

    A new transfer formalism for coarse K-homology theories yields an operator-free proof of Atiyah's L2-index theorem and a fresh treatment of Higson's counterexample to the coarse Baum-Connes conjecture.

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