16 citations · 16 across the 3 of their papers we have counts for
7 papers
Quasiconvexity in the curve complex
Howard A. Masur, Yair N. Minsky
Let S be the boundary of a handlebody M. We prove that the set of curves in S that are boundaries of disks in M, considered as a subset of the complex of curves of S, is quasi-conv…
The classification of Kleinian surface groups, I: Models and bounds
Yair N. Minsky
We give the first part of a proof of Thurston's Ending Lamination conjecture. In this part we show how to construct from the end invariants of a Kleinian surface group a ``Lipschit…
Combinatorial and Geometrical Aspects of Hyperbolic 3-Manifolds
Yair N. Minsky
These revised lecture notes are an expository account of part of the proof of Thurston's Ending Lamination Conjecture for Kleinian surface groups, which states that such groups are…
Short geodesics and end invariants
Yair N. Minsky
This expository article discusses some connections between the geometry of a hyperbolic 3-manifold homotopy-equivalent to a surface, and the combinatorial properties of its end inv…
Spectral theory, Hausdorff dimension and the topology of hyperbolic 3-manifolds
Richard D. Canary, Yair N. Minsky, Edward C. Taylor
Let M be a compact 3-manifold whose interior admits a complete hyperbolic structure. We let Lambda(M) be the supremum of the bottom eigenvalue of the Laplacian of N, where N varies…
Geometry of the complex of curves II: Hierarchical structure
Howard A. Masur, Yair N. Minsky
This paper continues a geometric study of Harvey's Complex of Curves, whose ultimate goal is to apply the theory of hyperbolic spaces and groups to algorithmic questions for the Ma…