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arXiv · 2306.13987

A short proof of an index theorem, II

Y. Abdolmaleki·D. Kucerovsky
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Abstract

We introduce a slight modification of the usual equivariant $KK$-theory. We use this to give a $KK$-theoretical proof of an equivariant index theorem for Dirac-Schrodinger operators on a non-compact manifold of nowhere positive curvature. We incidentally show that the boundary of Dirac is Dirac; generalizing earlier work of Baum and coworkers, and a result of Higson and Roe.

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Y. Abdolmaleki, D. Kucerovsky. 2023-06-24. A short proof of an index theorem, II. https://arxiv.org/abs/2306.13987

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