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Now showing items 31-40 of 78
Rigidity and Inflexibility in Conformal Dynamics
(Universität Bielefeld, Fakultät für Mathematik, 1998)
Polynomial Invariants for Fibered 3-Manifolds and Teichmuller Geodesics for Foliations
(Elsevier, 2000)
Let Image be a fibered face of the Thurston norm ball for a hyperbolic 3-manifold M.
Any Image determines a measured foliation Image of M. Generalizing the case of Teichmüller geodesics and fibrations, we show Image ...
The Moduli Space of Riemann Surfaces is Kahler Hyperbolic
(Princeton University Press, 2000)
Ribbon R-Trees and Holomorphic Dynamics on the Unit Disk
(Oxford University Press, 2009-12-03)
Let {Delta} sub C denote the unit disk, viewed as a model for the hyperbolic plane. Under rescaling, {Delta} takes on the appearance of a tree, with an additional ribbon structure coming from the cyclic ordering of its ...
Cyclotomic Factors of Coxeter Polynomials
(Elsevier, 2009)
In this paper we show that the cyclotomic factors of the En Coxeter polynomials depend only on the value of \(n\) mod 360, and come exclusively from spherical subdiagrams.
Dynamics of SL2(ℝ) Over Moduli Space in Genus Two
(Princeton University, 2007)
This paper classifies orbit closures and invariant measures for the natural action of SL2(ℝ) on Ωℳ2, the bundle of holomorphic 1-forms over the moduli space of Riemann surfaces of genus two.
Teichmüller Curves in Genus Two: Discriminant and Spin
(Springer Verlag, 2005)
Foliations of Hilbert Modular Surfaces
(Johns Hopkins University Press, 2007)
The Hilbert modular surface \(X_D\) is the moduli space of Abelian varieties A with real multiplication by a quadratic order of discriminant \(D > 1\). The locus where A is a product of elliptic curves determines a finite ...
Minkowski’s Conjecture, Well-Rounded Lattices and Topological Dimension
(American Mathematical Society, 2005)
Let A ⊂ SLn(R) be the diagonal subgroup, and identify SLn(R)/SLn(Z)with the space of unimodular lattices in Rn. In this paper we show that the closure of any bounded orbit A • L ⊂ SLn(R)/SLn(Z)meets the set of well-rounded ...
Teichmüller Curves in Genus Two: The Decagon and Beyond
(Walter de Gruyter, 2005)