The Loewner Energy via the Renormalised Energy of Moving Frames

Autor:	Michelat, Alexis, Wang, Yilin
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Mathematics - Complex Variables 53C42 30C35
Druh dokumentu:	Working Paper
Popis:	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. Comment: 36 pages, 2 figures, article shortened, new title, and new abstract
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.14748 Zobrazit plný text záznamu View this record from Arxiv