18 citations · 113 across the 24 of their papers we have counts for
30 papers
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…
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…
A bound on the -norm of a projective structure by the length of the bending lamination
Martin Bridgeman, Kenneth Bromberg
One can associate to a complex projective structure on a surface holomorphic quadratic differential via the Schwarzian derivative and a bending lamination via the Thurston…
-bounds for drilling short geodesics in convex co-compact hyperbolic 3-manifolds
Martin Bridgeman, Kenneth Bromberg
We give -bounds on the change in the complex projective structure on the boundary of conformally compact hyperbolic 3-manifold with incompressible boundary after drilling shor…
Convergence of the gradient flow of renormalized volume to convex cores with totally geodesic boundary
Martin Bridgeman, Kenneth Bromberg, Franco Vargas Pallete
We consider the Weil-Petersson gradient vector field of renormalized volume on the deformation space of convex cocompact hyperbolic structures on (relatively) acylindrical manifold…
Strata Separation for the Weil-Petersson Completion and Gradient Estimates for Length Functions
Martin Bridgeman, Kenneth Bromberg
In general, it is difficult to measure distances in the Weil-Petersson metric on Teichmüller space. Here we consider the distance between strata in the Weil-Petersson completion of…