Dirac-harmonic maps from index theory

Details Dirac-harmonic maps from index theory Dirac-harmonic maps from index theory

2011-10-06

arxiv.org/abs/1110.1309v1

Mathematics

Differential Geometry

26 pages, no figure

Scientific paper

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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