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Elliptic regularity for Dirac operators on families of noncompact manifolds

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arxiv 1608.01699 v2 pith:EY37DN6A submitted 2016-08-04 math.OA math.ATmath.FAmath.KT

Johannes Ebert This is my paper · ORCID
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keywords diracoperatorsellipticfamiliesmanifoldsnoncompactregularityalgebras
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abstract

We develop elliptic regularity theory for Dirac operators in a very general framework: we consider Dirac operators linear over $C^*$-algebras, on noncompact manifolds, and in families which are not necessarily locally trivial fibre bundles.

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Cited by 1 Pith paper

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  1. The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature

    math.KT 2025-06 conditional novelty 7.0 of 10

    The authors define a relative coarse index, prove it computes submanifold indices via a Thom class, and use it to build scalar curvature obstructions away from submanifolds.

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