Add to ORKGWe show that for any torus knot $K(r,s)$, $|r|>s>0$, there is a family of taut foliations of the complement of $K(r,s)$, which realizes all boundary slopes in $(-\infty, 1)$ when $r>0$, or $(-1,\infty)$ when $r<0$. This theorem is proved by a construction of branched surfaces and laminations which are used in the Roberts paper~\cite{RR01a}. Applying this construction to a fibered knot ${K}'$, we also show that there exists a family of taut foliations of the complement of the cable knot $K$ of ${K}'$ which realizes all boundary slopes in $(-\infty,1)$ or $(-1,\infty)$. Further, we partially extend the theorem of Roberts to a link case
It has been an open question whether all boundary slopes of hyperbolic knots are strongly detected b...
For an oriented irreducible 3-manifold M with non-empty toroidal boundary, we describe how sutured F...
Abstract. We show that if there exists an essential accidental surface in the knot exterior, then a ...
We show that for any torus knot $K(r,s)$, $|r|>s>0$, there is a family of taut foliations of the com...
AbstractThe authors show that for every k⩾/0 there are knots intrinsically of depth k, i.e., whose c...
Let M be a fibered 3-manifold with monodromy f and fiber F, a compact surface of positive genus. In ...
ABSTRACT. Let M be a fibered 3-manifold with multiple boundary components. We show that the fiber st...
In this thesis, we introduce the tools needed to present a conjecture proposed by Thurston in 1986, ...
Thesis advisor: Joshua E. GreeneWe construct taut foliations in every closed 3-manifold obtained by ...
It is shown that there exist alternating non-Montesinos knots whose essential spanning surfaces with...
A slope p/q is called a characterizing slope for a given knot K_0 in S^3 if whenever the p/q–surgery...
I will describe a construction of (codimension one) co-oriented taut foliations (CTFs) of 3-manifold...
In this article we study a partial ordering on knots in S3 where K1 K2 if there is an epimorphism f...
The L-Space Conjecture is taking the low-dimensional topology community by storm. It aims to relate ...
We give an equivalent description of taut submanifolds of complete Riemannian manifolds as exactly t...
It has been an open question whether all boundary slopes of hyperbolic knots are strongly detected b...
For an oriented irreducible 3-manifold M with non-empty toroidal boundary, we describe how sutured F...
Abstract. We show that if there exists an essential accidental surface in the knot exterior, then a ...
We show that for any torus knot $K(r,s)$, $|r|>s>0$, there is a family of taut foliations of the com...
AbstractThe authors show that for every k⩾/0 there are knots intrinsically of depth k, i.e., whose c...
Let M be a fibered 3-manifold with monodromy f and fiber F, a compact surface of positive genus. In ...
ABSTRACT. Let M be a fibered 3-manifold with multiple boundary components. We show that the fiber st...
In this thesis, we introduce the tools needed to present a conjecture proposed by Thurston in 1986, ...
Thesis advisor: Joshua E. GreeneWe construct taut foliations in every closed 3-manifold obtained by ...
It is shown that there exist alternating non-Montesinos knots whose essential spanning surfaces with...
A slope p/q is called a characterizing slope for a given knot K_0 in S^3 if whenever the p/q–surgery...
I will describe a construction of (codimension one) co-oriented taut foliations (CTFs) of 3-manifold...
In this article we study a partial ordering on knots in S3 where K1 K2 if there is an epimorphism f...
The L-Space Conjecture is taking the low-dimensional topology community by storm. It aims to relate ...
We give an equivalent description of taut submanifolds of complete Riemannian manifolds as exactly t...
It has been an open question whether all boundary slopes of hyperbolic knots are strongly detected b...
For an oriented irreducible 3-manifold M with non-empty toroidal boundary, we describe how sutured F...
Abstract. We show that if there exists an essential accidental surface in the knot exterior, then a ...