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arXiv · 2405.08622

On sections of complex line bundles over surfaces minimizing a Ginzburg-Landau energy

Dmitry Golovaty·Alberto Montero·Etienne Sandier·Peter Sternberg
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Abstract

In this work we extend some of the results of Ignat and Jerrard for Ginzburg-Landau vortices of tangent vector fields on two-dimensional Riemannian manifolds to the setting of complex hermitian line bundles. In particular, we elucidate the locations of vortices for the cases of Q-tensors and their higher-rank analogs on a sphere.

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Dmitry Golovaty, Alberto Montero, Etienne Sandier, Peter Sternberg. 2024-05-14. On sections of complex line bundles over surfaces minimizing a Ginzburg-Landau energy. https://arxiv.org/abs/2405.08622

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