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Geometry of the complex of curves II: Hierarchical structure
Abstract. ((Without Abstract)).
Geometry of the complex of curves I: Hyperbolicity
The Complex of Curves on a Surface is a simplicial complex whose vertices are homotopy classes of simple closed curves, and whose simplices are sets of homotopy classes which can be realized…
The classification of Kleinian surface groups I : Models and bounds : preprint
- Y. Minsky
- Mathematics
- 18 February 2003
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 “Lipschitz model” for the…
THE CLASSIFICATION OF KLEINIAN SURFACE GROUPS, II: THE ENDING LAMINATION CONJECTURE
- Jeffrey F. Brock, R. Canary, Y. Minsky
- Mathematics
- 1 December 2004
Thurston’s Ending Lamination Conjecture states that a hyperbolic 3manifold N with nitely generated fundamental group is uniquely determined by its topological type and its end invariants. In this…
The classification of punctured-torus groups.
- Y. Minsky
- Mathematics
- 1 July 1998
Thurston’s ending lamination conjecture proposes that a flnitely generated Kleinian group is uniquely determined (up to isometry) by the topology of its quotient and a list of invariants that…
On rigidity, limit sets, and end invariants of hyperbolic 3-manifolds
- Y. Minsky
- Mathematics
- 1 September 1994
Teichmüller geodesics and ends of hyperbolic 3-manifolds
- Y. Minsky
- Mathematics
- 1 July 1993
Extremal length estimates and product regions in Teichm
- Y. Minsky
- Mathematics
- 5 July 1994
We study the Teichm\"uller metric on the Teichm\"uller space of a surface of finite type, in regions where the injectivity radius of the surface is small. The main result is that in such regions the…
Bounded geometry for Kleinian groups
- Y. Minsky
- Mathematics
- 10 May 2001
Abstract.We show that a Kleinian surface group, or hyperbolic 3-manifold with a cusp-preserving homotopy-equivalence to a surface, has bounded geometry if and only if there is an upper bound on an…
Quasiconvexity in the curve complex
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-convex.
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