The Loewner Energy via the Renormalised Energy of Moving Frames

Alexis Michelat, Yilin Wang

Type: Article

Publication Date: 2024-02-12

Citations: 0

DOI: https://doi.org/10.1007/s00205-024-01957-1

Abstract

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.

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Archive for Rational Mechanics and Analysis - View - PDF
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