Bounded, separating, incompressible surfaces in knot manifolds.
Bounds for the Thurston-Bennequin number from Floer homology.
Bounds on exceptional Dehn filling.
Bouts d'un groupe opérant sur la droite, I : théorie algébrique
On étudie les morphismes d’un groupe infini discret dans un groupe de Lie contenu dans le groupe des difféomorphismes de la droite réelle. À un tel morphisme , on associe deux ensembles de “bouts” de “dans la direction” . On calcule le nombre de bouts dans plusieurs situations. Dans le cas particulier où est de type fini et où est le groupe des translations, n’a qu’un bout dans la direction si, et seulement si, ils vérifient la propriété de Bieri-Neumann-Strebel.
Braid Monodromy of Algebraic Curves
These are the notes from a one-week course on Braid Monodromy of Algebraic Curves given at the Université de Pau et des Pays de l’Adour during the Première Ecole Franco-Espagnole: Groupes de tresses et topologie en petite dimension in October 2009.This is intended to be an introductory survey through which we hope we can briefly outline the power of the concept monodromy as a common area for group theory, algebraic geometry, and topology of projective curves.The main classical results are stated...
Braid Orientations and Bundles with Flat Connections.
Braided Groups
Braided surfaces and Seifert ribbons for closed braids.
Braiding of the attractor and the failure of iterative algorithms.
Braids and invariants of 3-manifolds.
Braids and Signatures
A braid defines a link which has a signature. This defines a map from the braid group to the integers which is not a homomorphism. We relate the homomorphism defect of this map to Meyer cocycle and Maslov class. We give some information about the global geometry of the gordian metric space.
Braids: generalizations, presentations and algorithmic properties.
Braids in Pau – An Introduction
In this work, we describe the historic links between the study of -dimensional manifolds (specially knot theory) and the study of the topology of complex plane curves with a particular attention to the role of braid groups and Alexander-like invariants (torsions, different instances of Alexander polynomials). We finish with detailed computations in an example.
Branched Coverings.
Branched coverings, triangulations, and 3-manifolds.
Branched covers according to J. W. Alexander.
Branched Covers of Surfaces in 4-Manifolds.
Branched Immersions of Surfaces and Reduction of Topological Type, I.
Branched Immersions of Surfaces and Reduction of Topological Type. II.
Branched ...-structures on surfaces with prescribed real holonomy.