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arXiv · 2411.01646

Coronas and Callias type operators in coarse geometry

Ulrich Bunke·Matthias Ludewig
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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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BibTeXRIS

Ulrich Bunke, Matthias Ludewig. 2024-11-03. Coronas and Callias type operators in coarse geometry. https://arxiv.org/abs/2411.01646

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