A Callias-type index theorem with degenerate potentials
Differential Geometry
2018-01-11 v5 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
A generalization of Callias' index theorem for self adjoint Dirac operators with skew adjoint potentials on asymptotically conic manifolds is presented in which the potential term may have constant rank nullspace at infinity. The index obtained depends on the choice of a family of Fredholm extensions, though as in the classical version it depends only on the data at infinity.
Cite
@article{arxiv.1210.3275,
title = {A Callias-type index theorem with degenerate potentials},
author = {Chris Kottke},
journal= {arXiv preprint arXiv:1210.3275},
year = {2018}
}
Comments
42 pages. v1 is superseded by v3 and arXiv:1310.2974, v4, v5 incorporate revisions from referee reports. To appear in Comm. PDE