Add to ORKGFor any pair of knots of Gordian distance two, we construct an infinite family of knots which are ‘between' these two knots, that is, which differ from the given two knots by one crossing change. In particular, we prove that every knot of unknotting number two can be unknotted via infinitely many different knots of unknotting number on
We prove that if an alternating knot has unknotting number one, then there exists an unknotting cros...
We study three knot invariants related to smoothly immersed disks in the four-ball. These are the fo...
In this note we use Blanchfield forms to study knots that can be turned into an unknot using a singl...
A knot $K_1$ is said to be Gordian adjacent to a knot $K_2$ if $K_1$ is an intermediate knot on an u...
There have been many attempts to settle the question whether there exist nontrivial knots with trivi...
One of the most complicated problems in Knot theory is to compute unknotting number. Hass, Lagari...
We call a knot K a complete Alexander neighbor if every possible Alexander polynomial is realized by...
We use Heegaard Floer homology to obtain bounds on unknotting numbers. This is a generalisation of O...
The untwisting number of a knot K is the minimum number of null-homologous twists required to conver...
For any knot with genus one and unknotting number one, other than the figure-eight knot, we prove th...
AbstractWe consider a condition on a pair of the Alexander polynomials of knots which are realizable...
AbstractSuppose that a knot is deformed into another knot by a ν-unknotting operation. Then we will ...
AbstractLet K be an unknotting number one knot. By calculating Casson's invariant for the 2-fold bra...
The unknotting number of a knot is the minimum number of crossings one must change to turn that knot...
AbstractIntroducing a way to modify knots using n-trivial rational tangles, we show that knots with ...
We prove that if an alternating knot has unknotting number one, then there exists an unknotting cros...
We study three knot invariants related to smoothly immersed disks in the four-ball. These are the fo...
In this note we use Blanchfield forms to study knots that can be turned into an unknot using a singl...
A knot $K_1$ is said to be Gordian adjacent to a knot $K_2$ if $K_1$ is an intermediate knot on an u...
There have been many attempts to settle the question whether there exist nontrivial knots with trivi...
One of the most complicated problems in Knot theory is to compute unknotting number. Hass, Lagari...
We call a knot K a complete Alexander neighbor if every possible Alexander polynomial is realized by...
We use Heegaard Floer homology to obtain bounds on unknotting numbers. This is a generalisation of O...
The untwisting number of a knot K is the minimum number of null-homologous twists required to conver...
For any knot with genus one and unknotting number one, other than the figure-eight knot, we prove th...
AbstractWe consider a condition on a pair of the Alexander polynomials of knots which are realizable...
AbstractSuppose that a knot is deformed into another knot by a ν-unknotting operation. Then we will ...
AbstractLet K be an unknotting number one knot. By calculating Casson's invariant for the 2-fold bra...
The unknotting number of a knot is the minimum number of crossings one must change to turn that knot...
AbstractIntroducing a way to modify knots using n-trivial rational tangles, we show that knots with ...
We prove that if an alternating knot has unknotting number one, then there exists an unknotting cros...
We study three knot invariants related to smoothly immersed disks in the four-ball. These are the fo...
In this note we use Blanchfield forms to study knots that can be turned into an unknot using a singl...