1 citations · 1 across the 2 of their papers we have counts for
4 papers
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…
Hessian of Hausdorff dimension on purely imaginary directions
Martin Bridgeman, Beatrice Pozzetti, Andrés Sambarino +1
We extend classical results of Bridgeman-Taylor and McMullen on the Hessian of the Hausdorff dimension on quasi-Fuchsian space to the class of (1,1,2)-hyperconvex representations,…
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…
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures
Martin Bridgeman, Yunhui Wu
In this article we show that for every finite area hyperbolic surface of type and any harmonic Beltrami differential on , then the magnitude of at any point…