1 citations · 1 across the 5 of their papers we have counts for
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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 $ρ\in…
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 unival…
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…
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…
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…