Lefschetz fibrations on compact Stein surfaces.
Lefschetz number and degree of a self-map
Legendrian and transverse twist knots
In 1997, Chekanov gave the first example of a Legendrian nonsimple knot type: the knot. Epstein, Fuchs, and Meyer extended his result by showing that there are at least different Legendrian representatives with maximal Thurston-Bennequin number of the twist knot with crossing number . In this paper we give a complete classification of Legendrian and transverse representatives of twist knots. In particular, we show that has exactly Legendrian representatives with maximal Thurston–Bennequin...
Legendrian graphs and quasipositive diagrams
In this paper we clarify the relationship between ribbon surfaces of Legendrian graphs and quasipositive diagrams by using certain fence diagrams. As an application, we give an alternative proof of a theorem concerning a relationship between quasipositive fiber surfaces and contact structures on . We also answer a question of L. Rudolph concerning moves of quasipositive diagrams.
Legendrian knots and monopoles.
Lengths of simple loops on surfaces with hyperbolic metrics.
Lens space surgeries and a conjecture of Goda and Teragaito.
Les cycles évanescents sont dénoués
Les invariants récents des variétés de dimension 3
Les invariants des 3-variétés périodiques
Soit un entier . Une 3-variété est dite -périodique si et seulement si le groupe cyclique agit semi-librement sur avec un cercle comme l’ensemble des points fixes. Dans cet article, nous utilisons les invariants quantiques pour établir des conditions nécessaires pour qu’une 3-variété soit périodique.
Les sections secrètes des tores simples dans l'espace euclidien IR 3 telles que Kuiper les dévoile à Hirzebruch.
Levelling an unknotting tunnel.
Lie ideals and Jordan triple derivations in rings
Lifting of homeomorphisms to branched coverings of a disk
We consider a simple, possibly disconnected, d-sheeted branched covering π of a closed 2-dimensional disk D by a surface X. The isotopy classes of homeomorphisms of D which are pointwise fixed on the boundary of D and permute the branch values, form the braid group Bₙ, where n is the number of branch values. Some of these homeomorphisms can be lifted to homeomorphisms of X which fix pointwise the fiber over the base point. They form a subgroup of finite index in Bₙ. For each equivalence class...
Light paths with an odd number of vertices in polyhedral maps
Let be a path on vertices. In an earlier paper we have proved that each polyhedral map on any compact -manifold with Euler characteristic contains a path such that each vertex of this path has, in , degree . Moreover, this bound is attained for or , even. In this paper we prove that for each odd , this bound is the best possible on infinitely many compact -manifolds, but on infinitely many other compact -manifolds the upper bound can be lowered to .
L'image d'un groupe dans un groupe hyperbolique.
Limit groups and groups acting freely on -trees.
Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.
Limit sets of free convergence groups.
Limits of (certain) CAT(0) groups. I: Compactification.