DOI Publisher
Osaka University and Osaka City University, Departments of MathematicsAbstract
In this note we use Blanchfield forms to study knots that can be turned into an unknot using a single Ŧ_2k move
In this note we use Blanchfield forms to study knots that can be turned into an unknot using a single Ŧ_2k move
We give a formula for the duality structure of the 3 –manifold obtained by doing zero-framed surg...
We calculate Blanchfield pairings of 3-manifolds. In particular, we give a formula for the Blanchfie...
Our main result is a version of Birman's theorem about equivalence of plats, which does not involve ...
The unknotting number of a knot is the minimum number of crossings one must change to turn that knot...
The untwisting number of a knot K is the minimum number of null-homologous twists required to conver...
AbstractSuppose that a knot is deformed into another knot by a ν-unknotting operation. Then we will ...
This paper explores the problem of unknotting closed braids and classical knots in mathematical knot...
We establish homotopy ribbon concordance obstructions coming from the Blanchfield form and Levine–Tr...
AbstractLet K be an unknotting number one knot. By calculating Casson's invariant for the 2-fold bra...
We use Heegaard Floer homology to obtain bounds on unknotting numbers. This is a generalisation of O...
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus o...
We give a formula for the duality structure of the 3 –manifold obtained by doing zero-framed surg...
We prove a decomposition formula for twisted Blanchfield pairings of 3-manifolds. As an application ...
This paper studies twisted signature invariants and twisted linking forms, with a view towards obstr...
It has been shown that the twist number of a reduced alternating knot can be determined by summing c...
We give a formula for the duality structure of the 3 –manifold obtained by doing zero-framed surg...
We calculate Blanchfield pairings of 3-manifolds. In particular, we give a formula for the Blanchfie...
Our main result is a version of Birman's theorem about equivalence of plats, which does not involve ...
The unknotting number of a knot is the minimum number of crossings one must change to turn that knot...
The untwisting number of a knot K is the minimum number of null-homologous twists required to conver...
AbstractSuppose that a knot is deformed into another knot by a ν-unknotting operation. Then we will ...
This paper explores the problem of unknotting closed braids and classical knots in mathematical knot...
We establish homotopy ribbon concordance obstructions coming from the Blanchfield form and Levine–Tr...
AbstractLet K be an unknotting number one knot. By calculating Casson's invariant for the 2-fold bra...
We use Heegaard Floer homology to obtain bounds on unknotting numbers. This is a generalisation of O...
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus o...
We give a formula for the duality structure of the 3 –manifold obtained by doing zero-framed surg...
We prove a decomposition formula for twisted Blanchfield pairings of 3-manifolds. As an application ...
This paper studies twisted signature invariants and twisted linking forms, with a view towards obstr...
It has been shown that the twist number of a reduced alternating knot can be determined by summing c...
We give a formula for the duality structure of the 3 –manifold obtained by doing zero-framed surg...
We calculate Blanchfield pairings of 3-manifolds. In particular, we give a formula for the Blanchfie...
Our main result is a version of Birman's theorem about equivalence of plats, which does not involve ...
Add to ORKG