Geometrie Classification of Simplicial Structures on Topologieal Manifolds.
Geometry and topology of -covered foliations.
Good metric spaces without good parameterizations.
A classical problem in geometric topology is to recognize when a topological space is a topological manifold. This paper addresses the question of when a metric space admits a quasisymmetric parametrization by providing examples of spaces with many Eucledian-like properties which are nonetheless substantially different from Euclidean geometry. These examples are geometrically self-similar versions of classical topologically self-similar examples from geometric topology, and they can be realized...
Grafting Seiberg-Witten monopoles.
Graphs and projective planes in 3-manifolds.
Group actions on fibered three-manifolds.
Group Actions on the Chern Manifold.
Group negative curvature for 3-manifolds with genuine laminations.
Groupes fondamentaux des variétés de dimension et algèbres d’opérateurs
Nous proposons une caractérisation géométrique des variétés de dimension ayant des groupes fondamentaux dont toutes les classes de conjugaison autres que sont infinies, c’est-à-dire dont les algèbres de von Neumann sont des facteurs de type : ce sont essentiellement les -variétés à groupes fondamentaux infinis qui n’admettent pas de fibration de Seifert. Autrement dit et plus précisément, soient une -variété connexe compacte et son groupe fondamental, qu’on suppose être infini et avec...
Groupoids, the Phragmen-Brouwer property, and the Jordan curve theorem.
Groups acting on cube complexes.
Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space
Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.
Handle-decompositions of -manifolds
Harmonic morphisms and circle actions on 3- and 4-manifolds
Harmonic morphisms are considered as a natural generalization of the analytic functions of Riemann surface theory. It is shown that any closed analytic 3-manifold supporting a non-constant harmonic morphism into a Riemann surface must be a Seifert fibre space. Harmonic morphisms from a closed 4-manifold to a 3-manifold are studied. These determine a locally smooth circle action on with possible fixed points. This restricts the topology of . In all cases, a harmonic morphism from a closed...
Hausdorff combing of groups and for universal covering spaces of closed 3-manifolds
h-cobordism and s-cobordism Theorems: Transfer over Semialgebraic and Nash Categories, Uniform bound and Effectiveness
The h-cobordism theorem is a noted theorem in differential and PL topology. A generalization of the h-cobordism theorem for possibly non simply connected manifolds is the so called s-cobordism theorem. In this paper, we prove semialgebraic and Nash versions of these theorems. That is, starting with semialgebraic or Nash cobordism data, we get a semialgebraic homeomorphism (respectively a Nash diffeomorphism). The main tools used are semialgebraic triangulation and Nash approximation.One aspect of...
h-cobordisms between 1-connected 4-manifolds.
Heegaard diagrams and surgery descriptions for twisted face-pairing 3-manifolds.
Heegaard gradient and virtual fibers.
Heegaard splittings and Morse-Smale flows.