Dirac-harmonic maps from index theory
by
Bernd Ammann, Nicolas Ginoux

Dirac-harmonic maps from index theory (.dvi, .ps,.ps.gz or .pdf)
Calc. Var. 47 739-762, (2013).

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.

Additional documents

Examples of Dirac-harmonic maps after Jost-Mo-Zhu, Informal notes

Mathematics Subject Classification

58E20 (Primary), 53C43, 58J20, 53C27 (Secondary)

Keywords

Dirac harmonic maps, index theory
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The Paper was written on 6.10.2011
Last update 6.10.2011