• Corpus ID: 252762343

On the bifurcation theory of the Ginzburg-Landau equations

@inproceedings{Nagy2022OnTB,
  title={On the bifurcation theory of the Ginzburg-Landau equations},
  author={'Akos Nagy and Gonccalo Oliveira},
  year={2022}
}
A BSTRACT . We construct nonminimal and irreducible solutions to the Ginzburg–Landau equations on closed manifolds of arbitrary dimension with trivial first real cohomology. Our method uses bifurcation theory where the “bifurcation points” are characterized by the eigenvalues of a Laplace-type operator. To our knowledge these are the first such examples on nontrivial line bundles. 

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