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arXiv · 2601.17861

Manifolds of vortex loops as coadjoint orbits

Ioana Ciuclea·Cornelia Vizman
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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.

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Ioana Ciuclea, Cornelia Vizman. 2026-01-25. Manifolds of vortex loops as coadjoint orbits. https://doi.org/10.1016/j.difgeo.2025.102300

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