3 papers
math.GT2026
Bending, entropy and proper affine actions of surface groups
Martin Bridgeman, Richard Canary, Andres Sambarino
We show that for any closed surface there is an explict neighborhood of the fuchsian locus in quasifuchsian space such that for every representation $Ï\in…
math.GT2025
Schwarzian Bounds on Bending in Hyperbolic 3-Manifolds
Martin Bridgeman, Ming Hong Tee
The Schwarzian derivative provides a classical analytic measure of how far a holomorphic map of the disk is from being Möbius, with Nehari's bounds giving sharp criteria for univa…
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…