activity
19942026
most citedSchwarzian derivatives, projective structures, and the Weil-Petersson gradient flow for renormalized volume

14 citations · 32 across the 14 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.GT2023

Variation of holonomy for projective structures and an application to drilling hyperbolic 3-manifolds

Martin Bridgeman, Kenneth Bromberg

We bound the derivative of complex length of a geodesic under variation of the projective structure on a closed surface in terms of the norm of the Schwarzian in a neighborhood of…

math.DG2023

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 wit…