AbstractWu has shown that if a link or a knot L in S3 in thin position has thin spheres, then the thin sphere of lowest width is an essential meridional surface in the link complement. In this paper we show that if we further assume that L⊂S3 is prime, then the thin sphere of lowest width also does not have any vertical cut-disks. We also prove the result for a specific kind of tangles in S2×[−1,1]
Suppose there is a link K consisting of two disjoint embedded 2-spheres S12, S22 in R5. By the Hurew...
If H is a spatial handlebody, i.e. a handlebody embedded in the 3-sphere, a spine of H is a graph Γ...
We show that a small tree-decomposition of a knot diagram induces a small sphere-decomposition of th...
AbstractWu has shown that if a link or a knot L in S3 in thin position has thin spheres, then the th...
AbstractLet L be a link in S3 that is in thin position but not in bridge position and let P be a thi...
Abstract. In this paper, we characterize all links in S3 with bridge number at least three that have...
Since the 1980s, it has been known that essential surfaces in alternating link complements can be is...
Abstract. Let k be a knot in S3. In [8], H.N. Howards and J. Schultens introduced a method to constr...
Abstract. Let L be a non-split, prime and alternating link in the 3-sphere S3, and S an incompressib...
AbstractA'Campo formulated the way to construct a link in the 3-sphere from so-called divides, i.e.,...
It is proven that every fibred link in the 3-sphere S3 with k components can be obtained as the prei...
Abstract. This paper proves lower bounds on the volume of a hyperbolic 3–orbifold whose singular loc...
AbstractWe prove that the complements of all knots and links in S3 which have a 2n-plat projection w...
We present a definition of thin position for a knot in a 3-manifold with respect to a Heegaard surfa...
A regular circle-valued Morse function on the knot complement C(K) = S^3\K is a function f ...
Suppose there is a link K consisting of two disjoint embedded 2-spheres S12, S22 in R5. By the Hurew...
If H is a spatial handlebody, i.e. a handlebody embedded in the 3-sphere, a spine of H is a graph Γ...
We show that a small tree-decomposition of a knot diagram induces a small sphere-decomposition of th...
AbstractWu has shown that if a link or a knot L in S3 in thin position has thin spheres, then the th...
AbstractLet L be a link in S3 that is in thin position but not in bridge position and let P be a thi...
Abstract. In this paper, we characterize all links in S3 with bridge number at least three that have...
Since the 1980s, it has been known that essential surfaces in alternating link complements can be is...
Abstract. Let k be a knot in S3. In [8], H.N. Howards and J. Schultens introduced a method to constr...
Abstract. Let L be a non-split, prime and alternating link in the 3-sphere S3, and S an incompressib...
AbstractA'Campo formulated the way to construct a link in the 3-sphere from so-called divides, i.e.,...
It is proven that every fibred link in the 3-sphere S3 with k components can be obtained as the prei...
Abstract. This paper proves lower bounds on the volume of a hyperbolic 3–orbifold whose singular loc...
AbstractWe prove that the complements of all knots and links in S3 which have a 2n-plat projection w...
We present a definition of thin position for a knot in a 3-manifold with respect to a Heegaard surfa...
A regular circle-valued Morse function on the knot complement C(K) = S^3\K is a function f ...
Suppose there is a link K consisting of two disjoint embedded 2-spheres S12, S22 in R5. By the Hurew...
If H is a spatial handlebody, i.e. a handlebody embedded in the 3-sphere, a spine of H is a graph Γ...
We show that a small tree-decomposition of a knot diagram induces a small sphere-decomposition of th...
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