@article{83090ce2b0f942e0ab357e7e09461a55,
title = "The Index of a Local Boundary Value Problem for Strongly Callias-Type Operators",
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 Ho{\v r}ava–Witten anomaly.",
keywords = "Boundary value problem, Callias, Chiral anomaly, Cobordism, Index",
author = "Maxim Braverman and Pengshuai Shi",
note = "Publisher Copyright: {\textcopyright} 2019, Institute for Mathematical Sciences (IMS), Stony Brook University, NY.",
year = "2019",
month = mar,
day = "1",
doi = "10.1007/s40598-019-00110-1",
language = "English",
volume = "5",
pages = "79--96",
journal = "Arnold Mathematical Journal",
issn = "2199-6792",
publisher = "Springer International Publishing AG",
number = "1",
}