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math.DG2025
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…
math.DG2024
Epstein Surfaces, -Volume, and the Osgood-Stowe Differential
Martin Bridgeman, Kenneth Bromberg
In a seminal paper, Epstein introduced the theory of what are now called Epstein surfaces, which construct surfaces in associated to a conformal metric on a domain i…