The index of a local boundary value problem for strongly Callias-type operators

2018/10/15 by Braverman, Maxim, Shi, Pengshuai
#19K56 #58J28 #58J30 #58J32 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.06134

Abstract

We consider a complete Riemannian manifold M whose boundary is a disjoint union of finitely many complete connected Riemannian manifolds. We compute the index of a local boundary value problem for a strongly Callias-type operator on M. Our result extends an index theorem of D. Freed to non-compact manifolds, thus providing a new insight on the Horava-Witten anomaly.

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