The Loewner Energy via the Renormalised Energy of Moving Frames
arXiv:2111.14748
Abstract
We obtain a new formula for the Loewner energy of Jordan curves on the sphere, which is a Kähler potential for the essentially unique Kähler metric on the Weil-Petersson universal Teichmüller space, as the renormalised energy of moving frames on the two domains of the sphere delimited by the given curve.
36 pages, 2 figures, article shortened, new title, and new abstract