2 papers
math.AP2022
On the bifurcation theory of the Ginzburg-Landau equations
Ákos Nagy, Gonçalo Oliveira
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 bi…
math.DG2021
Nonminimal solutions to the Ginzburg-Landau equations on surfaces
Ákos Nagy, Gonçalo Oliveira
We prove the existence of novel, nonminimal and irreducible solutions to the (self-dual) Ginzburg-Landau equations on closed surfaces. To our knowledge these are the first such exa…