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Dirac-harmonic maps from index theory

URN to cite this document:
Ammann, Bernd ; Ginoux, Nicolas
Date of publication of this fulltext: 19 Dec 2011 10:05


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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