English

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

Differential Geometry 2018-10-16 v1

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.

Keywords

Cite

@article{arxiv.1810.06134,
  title  = {The index of a local boundary value problem for strongly Callias-type operators},
  author = {Maxim Braverman and Pengshuai Shi},
  journal= {arXiv preprint arXiv:1810.06134},
  year   = {2018}
}

Comments

13 pages