6 papers
Epstein curves and holography of the Schwarzian action
Franco Vargas Pallete, Yilin Wang, Catherine Wolfram
We apply Epstein's construction of hypersurfaces in the hyperbolic disk to prove identities between the Schwarzian action on $\operatorname{PSL}_2(\mathbb R)\backslash…
On the Loewner energy of a welding homeomorphism
Shuo Fan, Fredrik Viklund, Yilin Wang
To any Jordan curve one may associate a circle homeomorphism via conformal welding. Through this correspondence, the Loewner energy , also kn…
Piecewise geodesic Jordan curves II: Loewner energy, projective structures, and accessory parameters
Mario Bonk, Janne Junnila, Steffen Rohde +1
In this paper we consider Jordan curves on the Riemann sphere passing through given points. We show that in each relative isotopy class of such curves, there exists a uni…
Piecewise geodesic Jordan curves I: weldings, explicit computations, and Schwarzian derivatives
Donald Marshall, Steffen Rohde, Yilin Wang
We consider Jordan curves of the form on the Riemann sphere for which each is a hyperbolic geodesic in $(\widehat{\mathbb C} \smallsetminus γ)\cup γ…
Universal Liouville action as a renormalized volume and its gradient flow
Martin Bridgeman, Kenneth Bromberg, Franco Vargas Pallete +1
The universal Liouville action (also known as the Loewner energy for Jordan curves) is a Kähler potential on the Weil-Petersson universal Teichmüller space, which is identified w…
Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra
Maria Gordina, Wei Qian, Yilin Wang
We use the SLE loop measure to construct a natural representation of the Virasoro algebra of central charge . In particular, we introduce a non-degenerate bil…