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- Martin Bridgeman
- 1994

In this paper we investigate how the volume of hyperbolic manifolds increases under the process of removing a curve, that is, Dehn drilling. If the curve we remove is a geodesic we are able to show… (More)

- Martin Bridgeman, RICHARD D. CANARY
- 2015

We prove that a Kleinian surface groups is determined, up to conjugacy in the isometry group of H, by its simple marked length spectrum. As a first application, we show that a discrete faithful… (More)

- Martin Bridgeman, RICHARD CANARY, FRANÇOIS LABOURIE, ANDRES SAMBARINO
- 2013

Using the thermodynamics formalism, we introduce a notion of intersection for convex Anosov representations, show analyticity results for the intersection and the entropy, and rigidity results for… (More)

- Martin Bridgeman, Richard D. Canary
- 2003

If N is a hyperbolic 3-manifold with finitely generated fundamental group, then the nearest point retraction is a proper homotopy equivalence from the conformal boundary of N to the boundary of the… (More)

- Petra Bonfert-Taylor, Martin Bridgeman, RICHARD D. CANARY, Edward C. Taylor
- 2005

We show that any closed hyperbolic surface admitting a conformal automorphism with “many” fixed points is uniformly quasiconformally homogeneous, with constant uniformly bounded away from 1. In… (More)

- Martin Bridgeman
- 2010

We show that the nearest point retraction is a uniform quasi-isometry from the Thurston metric on a hyperbolic domain Ω ⊂ Ĉ to the boundary Dome(Ω) of the convex hull of its complement. As a… (More)

- Martin Bridgeman, RICHARD CANARY
- 2017

Nous montrons qu’une représentation de Hitchin est déterminée par les rayons spectraux des images de courbes simples et non séparantes. Comme application, nous caractérisons les isométries de la… (More)

- Martin Bridgeman
- 2011

Given a hyperbolic domain Ω, the nearest point retraction is a conformally natural homotopy equivalence from Ω to the boundary Dome(Ω) of the convex core of its complement. Marden and Markovic showed… (More)

- Martin Bridgeman
- 1994

We define a decomposition of link projections whose pieces we call atoroidal graphs. We describe a surgery operation on these graphs and show that all atoroidal graphs can be generated by performing… (More)

In this paper we relate the ergodic action of a Kleinian group on the space of line elements to the conformal action of the group on the sphere at infinity. In particular, we show that for a pair of… (More)