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arXiv · 2210.03271

On the bifurcation theory of the Ginzburg-Landau equations

Ákos Nagy·Gonçalo Oliveira
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Abstract

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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BibTeXRIS

Ákos Nagy, Gonçalo Oliveira. 2022-10-07. On the bifurcation theory of the Ginzburg-Landau equations. https://doi.org/10.1090/proc/16510

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