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arXiv · 1110.1309

Dirac-harmonic maps from index theory

Bernd Ammann·Nicolas Ginoux
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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.

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Bernd Ammann, Nicolas Ginoux. 2015-10-27. Dirac-harmonic maps from index theory. https://doi.org/10.1007/s00526-012-0534-z

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