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arXiv · 2111.14748

The Loewner Energy via the Renormalised Energy of Moving Frames

Alexis Michelat·Yilin Wang
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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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Alexis Michelat, Yilin Wang. 2021-11-29. The Loewner Energy via the Renormalised Energy of Moving Frames. https://arxiv.org/abs/2111.14748

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