Explicit expressions for the Loewner energy I^L are obtained as Fredholm determinants of a new operator Λ_φ on the welding homeomorphism, with φ Weil-Petersson precisely when Λ_φ is Hilbert-Schmidt.
Takhtajan and Lee-Peng Teo
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On the Loewner energy of a welding homeomorphism
Explicit expressions for the Loewner energy I^L are obtained as Fredholm determinants of a new operator Λ_φ on the welding homeomorphism, with φ Weil-Petersson precisely when Λ_φ is Hilbert-Schmidt.