• 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}
}
• Published 7 October 2022
• Mathematics
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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Given a Hermitian line bundle L→M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}