We shall prove that a knot which can be represented by a positive braid with a half twist is prime. This is done by associating to each such braid a smooth branched 2-manifold with boundary and studying its intersection with a would-be cutting sphere
. We show that any closed incompressible surface in the complement of a positive knot is algebraica...
We associate to every positive braid a braid monodromy group, generalizing the geometric monodromy g...
In this paper, we study the theory of pseudo knots, which are knots with some missing crossing infor...
We show that a positive braid is composite if and only if the factorization is visually obvious by...
Kirby and Lickorish have introduced the idea of prime tangle (5) where the term ‘tangle' is borrowed...
We prove some necessary conditions for a link to be either concordant to a quasi-positive link, quas...
In [8] R.F. Williams showed that all knots in the Lorenz template are prime. His proof included the ...
Positive permutation braids on n strings, which are defined to be positive n-braids where each pair ...
We show that for m and n positive, composite closed orbits realized on the Lorenz-like template L(m,...
Templates are branched 2-manifolds with semi-flows used to model chaotic hyperbolic invariant sets...
We prove that the meridional rank and the bridge number of the Whitehead double of a prime algebraic...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
We show that a positive braid knot has maximal topological 4-genus exactly if it has maximal signatu...
We present a simple combinatorial model for quasipositive surfaces and positive braids, based on emb...
We characterise positive braid links with positive Seifert form via a finite number of forbidden min...
. We show that any closed incompressible surface in the complement of a positive knot is algebraica...
We associate to every positive braid a braid monodromy group, generalizing the geometric monodromy g...
In this paper, we study the theory of pseudo knots, which are knots with some missing crossing infor...
We show that a positive braid is composite if and only if the factorization is visually obvious by...
Kirby and Lickorish have introduced the idea of prime tangle (5) where the term ‘tangle' is borrowed...
We prove some necessary conditions for a link to be either concordant to a quasi-positive link, quas...
In [8] R.F. Williams showed that all knots in the Lorenz template are prime. His proof included the ...
Positive permutation braids on n strings, which are defined to be positive n-braids where each pair ...
We show that for m and n positive, composite closed orbits realized on the Lorenz-like template L(m,...
Templates are branched 2-manifolds with semi-flows used to model chaotic hyperbolic invariant sets...
We prove that the meridional rank and the bridge number of the Whitehead double of a prime algebraic...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
We show that a positive braid knot has maximal topological 4-genus exactly if it has maximal signatu...
We present a simple combinatorial model for quasipositive surfaces and positive braids, based on emb...
We characterise positive braid links with positive Seifert form via a finite number of forbidden min...
. We show that any closed incompressible surface in the complement of a positive knot is algebraica...
We associate to every positive braid a braid monodromy group, generalizing the geometric monodromy g...
In this paper, we study the theory of pseudo knots, which are knots with some missing crossing infor...
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