The Loewner Energy via the Renormalised Energy of Moving Frames
Abstract
We obtain a new formula for the Loewner energy of Jordan curves on the sphere, which is a K\"ahler potential for the essentially unique K\"ahler metric on the Weil-Petersson universal Teichm\"uller space, as the renormalised energy of moving frames on the two domains of the sphere delimited by the given curve.
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