Dirac-harmonic maps from index theory
Differential Geometry
2015-10-28 v2 Analysis of PDEs
Abstract
We prove existence results for Dirac-harmonic maps using index theoretical tools. They are mainly interesting if the source manifold has dimension 1 or 2 modulo 8. Our solutions are uncoupled in the sense that the underlying map between the source and target manifolds is a harmonic map.
Keywords
Cite
@article{arxiv.1110.1309,
title = {Dirac-harmonic maps from index theory},
author = {Bernd Ammann and Nicolas Ginoux},
journal= {arXiv preprint arXiv:1110.1309},
year = {2015}
}
Comments
26 pages, no figure