Ergodic theory and free actions of groups on IR-trees.
Erratum - Espace des représentations du groupe d'un noeud classique dans un groupe de Lie
Erratum : “Real deformations and complex topology of plane curve singularities”
Erratum to: Homology stability for outer automorphism groups of free groups.
Espace des représentations du groupe d'un noeud classique dans un groupe de Lie
Nous donnons, sous certaines conditions, une méthode générale de construction d’un arc de représentations non métabéliennes d’extrémité une représentation abélienne donnée du groupe d’un noeud d’une sphère d’homologie rationnelle dans un groupe de Lie complexe connexe réductif. Nous déterminons également la structure locale de la variété des représentations au voisinage de la représentation abélienne.
Essential tori admitting a standard tiling
Birman and Menasco (1994) introduced and studied a class of embedded tori in closed braid complements which admit a standard tiling. The geometric description of the tori from this class was not complete. Ng showed (1988) that each essential torus in a closed braid complement which admits a standard tiling possesses a staircase tiling pattern. In this paper, we introduce and study the so-called longitude-meridional patterns for essential tori admitting a standard tiling. A longitude-meridional...
Estimating the states of the Kauffman bracket skein module
The states of the title are a set of knot types which suffice to create a generating set for the Kauffman bracket skein module of a manifold. The minimum number of states is a topological invariant, but quite difficult to compute. In this paper we show that a set of states determines a generating set for the ring of characters of the fundamental group, which in turn provides estimates of the invariant.
Estimations de dimensions de Minkowski dans l’espace des groupes marqués
Dans cet article, on montre que l’espace des groupes marqués est un sous-espace fermé d’un ensemble de Cantor dont la dimension de Hausdorff est infinie. On prouve que la dimension de Minkowski de cet espace est infinie en exhibant des sous-ensembles de groupes marqués à petite simplification dont les dimensions de Minkowski sont arbitrairement grandes. On donne une estimation des dimensions de Minkowski de sous-espaces de groupes à un relateur. On démontre enfin que les dimensions de Minkowski...
Estudio intrínseco de piezas Navier-hiperelásticas (Elastostática de piezas longitudinales conservativas).
Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants.
Euclidean Mahler measure and twisted links.
Every braid admits a short sigma-definite expression
A result by Dehornoy (1992) says that every nontrivial braid admits a -definite expression, defined as a braid word in which the generator with maximal index appears with exponents that are all positive, or all negative. This is the ground result for ordering braids. In this paper, we enhance this result and prove that every braid admits a -definite word expression that, in addition, is quasi-geodesic. This establishes a longstanding conjecture. Our proof uses the dual braid monoid and a new...
Every connected sum of lens spaces is a real component of a uniruled algebraic variety
We show that any finite connected sum of lens spaces is diffeomorphic to a real component of a uniruled projective variety, and prove a conjecture of János Kollár.
Every knot is a billiard knot
We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.
Exactitude à gauche du foncteur de cohomologie bornée réelle
Examples on Polynomial Invariants of Knots and Links.
Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot.
Exponential separation in 4-manifolds.
Extended Bloch group and the Cheeger-Chern-Simons class.
Extended moduli spaces of flat connections on Riemann surfaces.