Manifolds of vortex loops as coadjoint orbits
arXiv:2601.17861 · doi:10.1016/j.difgeo.2025.102300
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.
9 pages