M. Bridgeman

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20192025

L^{2}

-norm of a projective structure by the length of the bending lamination

1 citations · 1 across the 3 of their papers we have counts for

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math.DG2020

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,…

math.DG2019

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 $X$ of type $(g, n)$ and any harmonic Beltrami differential $μ$ on $X$ , then the magnitude of $μ$ at any point…