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Now showing items 11-20 of 20
Cusps are Dense
(Princeton University Press, 1991)
We show cusps are dense in Bers' boundary for Teichmuller space. The proof rests on an estimate for the algebraic effect of a unit quasiconformal deformation supported in the thin part of the Riemann surface.
The Spectral Geometry of Flat Disks
(Duke University Press, 1990)
Elder Siblings and the Taming of Hyperbolic 3-Manifolds
(Academia Scientiarum Fennica, 1998)
A 3-manifold is tame if it is homeomorphic to the interior of a compact manifold with boundary. Marden’s conjecture asserts that any hyperbolic 3-manifold \(\mathbb{M} = \mathbb{H}^3/\Gamma\) with \(\pi_1(M)\) finitely-generated ...
Complex Earthquakes and Teichmuller Theory
(American Mathematical Society, 1998)
It is known that any two points in Teichmuller space are joined by an earthquake path. In this paper we show any earthquake path \(\mathbb{R} \rightarrow T(S)\) extends to a proper holomorphic mapping of a simplyconnected ...
Hausdorff Dimension and Conformal Dynamics I: Strong Convergence of Kleinian Groups
(International Press, 1999)
This paper investigates the behavior of the Hausdorff dimensions of the limit sets \(\Lambda_n\) and \(\Lambda\) of a sequence of Kleinian groups \(\Gamma_n \rightarrow \Gamma\), where \(M = \mathbb{H}^3/\Gamma\) is ...
Lipschitz Maps and Nets in Euclidean Space
(Springer Verlag, 1998)
Kleinian Groups and John Domains
(Elsevier, 1998)
We characterize when John domains arise in the setting of Kleinian
groups.
Mixing, Counting, and Equidistribution in Lie Groups
(Duke University Press, 1993)
4-Manifolds With Inequivalent Symplectic Forms and 3-Manifolds With Inequivalent Fibrations
(International Press, 1999)
We exhibit a closed, simply connected 4-manifold \(X\) carrying two
symplectic structures whose first Chern classes in \(H^2 (X, \mathbb{Z})\) lie in disjoint orbits of the diffeomorphism group of \(X\). Consequently, the ...