Sullivan, Dennis
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Hyperbolic geometry and homomorphisms. (Suivi de) On Complexes that are Lipschitz manifolds
Two papers for the proceedings of the Athnes, Georgia Topology Conference of August, 1977
A Fioliation of geodesics in characterized by having no tangent homologies and a homological characterization of foliations consisting of minimal surfaces
Dedicated to the memory of George Cooke.
On the Structure of infinitely many dynamical systems nested inside or outside a given one
Abstract : In the content of smooth folding mappings we show bounded return time renormalization is topologically hyperbolic and find the stable and unstable manifolds. The main consequence is the asymptotic geometric rigidity of the Cantor sets…
Bounds, quadratic differentials and renormalization conjectures
Abstract : In the context of smooth folding mappings we verifie certain conjecture by showing bounded return time renormalization is topologically hyperbolic and find the stable and unstable manifolds. The main consequence is the asymptotic geometric…
Determinant bundles, Quillen metrics, and Mumford isomorphisms over the universal commensurability Teichmüller space
Abstract : A coherent, genus independent, equivariant construction of determinant line bundles, and connecting Mumford isomorphisms, is obtained over the inductive limie of the Teichmüller spaces of Riemann surfaces of varying genus. The direct…