Manifolds of vortex loops as coadjoint orbits
Differential Geometry
2026-01-27 v1 Symplectic Geometry
Abstract
We study a class of coadjoint orbits of the area preserving diffeomorphism group of the plane consisting of vortex loops, namely closed curves in the plane decorated with one-forms (vorticity densities) allowed to have zeros.
Cite
@article{arxiv.2601.17861,
title = {Manifolds of vortex loops as coadjoint orbits},
author = {Ioana Ciuclea and Cornelia Vizman},
journal= {arXiv preprint arXiv:2601.17861},
year = {2026}
}
Comments
9 pages