Banding, twisted ribben knots, and producing reducible manifolds via Dehn surgery.
Band-pass moves and the Casson-Walker-Lescop invariant.
Bands, Tangles and linear Skein theory.
Basic polyhedra in knot theory
Behavior of knot invariants under genus 2 mutation.
Bipartite knots
We give a solution to a part of Problem 1.60 in Kirby's list of open problems in topology, thus answering in the positive the question raised in 1987 by J. Przytycki.
Boundary curves of surfaces with the 4--plane property.
Boundary slopes (nearly) bound cyclic slopes.
Bounded, separating, incompressible surfaces in knot manifolds.
Bounds on exceptional Dehn filling.
Braid Orientations and Bundles with Flat Connections.
Braided Groups
Braided surfaces and Seifert ribbons for closed braids.
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 Covers of Surfaces in 4-Manifolds.
Brunnian links
A Brunnian link is a set of n linked loops such that every proper sublink is trivial. Simple Brunnian links have a natural algebraic representation. This is used to determine the form, length and number of minimal simple Brunnian links. Braids are used to investigate when two algebraic words represent equivalent simple Brunnian links that differ only in the arrangement of the component loops.
Brunnian links are determined by their complements.