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Coronas and Callias type operators in coarse geometry

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arxiv 2411.01646 v2 pith:CQZ6NIOJ submitted 2024-11-03 math.KT math.ATmath.DGmath.OA

Ulrich Bunke , Matthias Ludewig This is my paper · ORCID
classification math.KTmath.ATmath.DGmath.OA
keywords coarsecalliasclassesindexlocalsymboltypeassociated
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abstract

We interpret the coarse symbol and index class of a Callias type Dirac operator $D+\Psi$ on a manifold $M$ as a pairing between the coarse symbol and index classes associated to $D$ and K-theory classes of the coarse corona of $M$ or $M$ itself determined by $\Psi$. Local positivity of $D$ and local invertibility of $\Psi$ are incorporated in terms of support conditions on the $K$-theoretic level.

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Cited by 6 Pith papers

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