Add to ORKGWe show that a positive braid is composite if and only if the factorization is visually obvious by placing the braid k in a specially constructed smooth branched 2- manifold B(k) and studying how a would-be cutting sphere meets B(k). This gives an elementary proof of a theorem due to Peter Cromwell
Positive permutation braids on n strings, which are defined to be positive n-braids where each pair ...
Abstract. Let D2 be the disc in the complex plane centered at the origin with radius n+1. Let Dn be ...
AbstractLet Dn denote the n-punctured disk in the complex plane, where the punctures are on the real...
We shall prove that a knot which can be represented by a positive braid with a half twist is prime. ...
Templates are branched 2-manifolds with semi-flows used to model chaotic hyperbolic invariant sets...
We show that for m and n positive, composite closed orbits realized on the Lorenz-like template L(m,...
We associate to every positive braid a braid monodromy group, generalizing the geometric monodromy g...
We present a simple combinatorial model for quasipositive surfaces and positive braids, based on emb...
. We show that any closed incompressible surface in the complement of a positive knot is algebraica...
We prove some necessary conditions for a link to be either concordant to a quasi-positive link, quas...
Strongly quasipositive links are those links which can be seen as closures of positive braids in te...
In this work, we present a brief survey of knot theory supported by contact 3-manifolds. We focus on...
We study braided embeddings, which is a natural generalization of closed braids in three dimensions....
In this thesis we seek to better understand the planar mapping class group inorder to find factoriza...
We give a criterion for an open book to contain an n-times iterated Hopf plumbing summand. As an app...
Positive permutation braids on n strings, which are defined to be positive n-braids where each pair ...
Abstract. Let D2 be the disc in the complex plane centered at the origin with radius n+1. Let Dn be ...
AbstractLet Dn denote the n-punctured disk in the complex plane, where the punctures are on the real...
We shall prove that a knot which can be represented by a positive braid with a half twist is prime. ...
Templates are branched 2-manifolds with semi-flows used to model chaotic hyperbolic invariant sets...
We show that for m and n positive, composite closed orbits realized on the Lorenz-like template L(m,...
We associate to every positive braid a braid monodromy group, generalizing the geometric monodromy g...
We present a simple combinatorial model for quasipositive surfaces and positive braids, based on emb...
. We show that any closed incompressible surface in the complement of a positive knot is algebraica...
We prove some necessary conditions for a link to be either concordant to a quasi-positive link, quas...
Strongly quasipositive links are those links which can be seen as closures of positive braids in te...
In this work, we present a brief survey of knot theory supported by contact 3-manifolds. We focus on...
We study braided embeddings, which is a natural generalization of closed braids in three dimensions....
In this thesis we seek to better understand the planar mapping class group inorder to find factoriza...
We give a criterion for an open book to contain an n-times iterated Hopf plumbing summand. As an app...
Positive permutation braids on n strings, which are defined to be positive n-braids where each pair ...
Abstract. Let D2 be the disc in the complex plane centered at the origin with radius n+1. Let Dn be ...
AbstractLet Dn denote the n-punctured disk in the complex plane, where the punctures are on the real...