Dirac-harmonic maps from index theory

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.

26 pages, no figure

References in corpus (1)

• Liouville Theorems for Dirac-Harmonic Maps

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