Proportionality principle for cusped manifolds
We give a short proof of the proportionality principle for cusped hyperbolic manifolds.
Pruning theory and Thurston's classification of surface homeomorphisms
Two dynamical deformation theories are presented – one for surface homeomorphisms, called pruning, and another for graph endomorphisms, called kneading – both giving conditions under which all of the dynamics in an open set can be destroyed, while leaving the dynamics unchanged elsewhere. The theories are related to each other and to Thurston’s classification of surface homeomorphisms up to isotopy.
Pseudofree Actions and the Greedy Algorithm.
Pseudo-interiors of hyperspaces
Quadruple points of 3-manifolds in S4.
Quantum invariants of links and 3-valent graphs in 3-manifolds
Quelques notions d’espaces stratifiés
Quelques problèmes d'homotopie et d'isotopie dans les variétés de dimension 3 non irréductibles
Cette note résume une étude sur la comparaison des relations d’homotopie et d’isotopie dans les problèmes suivants : disjonction de deux sphères plongées, plongement de sphères dans une variété de dimension 3 satisfaisant à la conjecture de Poincaré. On mentionne une application aux décompositions en anses des variétés de dimension 4.
Quelques remarques sur les diagrammes de Heegard
Quelques théorèmes de géométrie à dimensions
Quotients of Coxeter complexes, fundamental groupoids and Regular Graphs.
Rank gradient, cost of groups and the rank versus Heegaard genus problem
We study the growth of the rank of subgroups of finite index in residually finite groups, by relating it to the notion of cost. As a by-product, we show that the ‘rank vs. Heegaard genus’ conjecture on hyperbolic 3-manifolds is incompatible with the ‘fixed price problem’ in topological dynamics.
Rational surfaces and symplectic 4-manifolds with one basic class.
Rationality of geometric signatures of complete 4-manifolds.
Real algebraic structures on topological spaces
Real Homotopy Theory of Kähler Manifolds.
Realization of simply-connected 4-manifolds with a given boundary.
Realizing automorphisms of the fundamental group of irreducible 3-manifolds containing two-sided projective planes.
Realizing Homology Classes by Almost-Complex Submanifolds.
Rechtsdibrutive Quasigruppen auf 1-Mannigfaltigkeiten.