1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
Higher derivatives of length functions along earthquake deformations
Martin Bridgeman
We calculate the higher derivatives of length functions on Teichmuller space along earthquake deformations. This generalizes the cosine formula for the first derivative by Kerckhof…
Hyperbolic volume of n-manifolds with geodesic boundary and orthospectra
Martin Bridgeman, Jeremy Kahn
In this paper we describe a function such that for any hyperbolic n-manifold with totally geodesic boundary , the vol…
The Thurston metric on hyperbolic domains and boundaries of convex hulls
Martin Bridgeman, Richard Canary
We show that the nearest point retraction is a uniform quasi-isometry from the Thurston metric on a hyperbolic domain in the Riemann sphere to the boundary of the convex hull of it…