AbstractLet K be an unknotting number one knot. By calculating Casson's invariant for the 2-fold branched covering of S3 branched over K, we give some relations among the Jones polynomial, the signature, and the Conway polynomial of K, and prove that some knots are of unknotting number two
The A-polynomial of a knot in S³ defines a complex plane curve associated to the set of representati...
A mathematical knot is an embedded circle in R3. A fundamental problem in knot theory is classifying...
We prove that if an alternating knot has unknotting number one, then there exists an unknotting cros...
AbstractLet K be an unknotting number one knot. By calculating Casson's invariant for the 2-fold bra...
There have been many attempts to settle the question whether there exist nontrivial knots with trivi...
AbstractSuppose that a knot is deformed into another knot by a ν-unknotting operation. Then we will ...
AbstractWe show that a knot with a diagram with n granny and square tangles has unknotting number at...
AbstractThis paper presents a formula for Casson's invariant for branched cyclic covers of degree r ...
We use Heegaard Floer homology to obtain bounds on unknotting numbers. This is a generalisation of O...
There were many attempts to settle the question whether there exist non trivial knots with trivial J...
The unknotting number of a knot is the minimum number of crossings one must change to turn that knot...
In this section we introduce the Jones polynomial a link invariant found by Vaughan Jones in 1984. L...
We prove for rational knots a conjecture of Adams et al. that an alternating unknotting number one k...
We prove for rational knots a conjecture of Adams et al. that an alternating unknotting number one k...
AbstractIntroducing a way to modify knots using n-trivial rational tangles, we show that knots with ...
The A-polynomial of a knot in S³ defines a complex plane curve associated to the set of representati...
A mathematical knot is an embedded circle in R3. A fundamental problem in knot theory is classifying...
We prove that if an alternating knot has unknotting number one, then there exists an unknotting cros...
AbstractLet K be an unknotting number one knot. By calculating Casson's invariant for the 2-fold bra...
There have been many attempts to settle the question whether there exist nontrivial knots with trivi...
AbstractSuppose that a knot is deformed into another knot by a ν-unknotting operation. Then we will ...
AbstractWe show that a knot with a diagram with n granny and square tangles has unknotting number at...
AbstractThis paper presents a formula for Casson's invariant for branched cyclic covers of degree r ...
We use Heegaard Floer homology to obtain bounds on unknotting numbers. This is a generalisation of O...
There were many attempts to settle the question whether there exist non trivial knots with trivial J...
The unknotting number of a knot is the minimum number of crossings one must change to turn that knot...
In this section we introduce the Jones polynomial a link invariant found by Vaughan Jones in 1984. L...
We prove for rational knots a conjecture of Adams et al. that an alternating unknotting number one k...
We prove for rational knots a conjecture of Adams et al. that an alternating unknotting number one k...
AbstractIntroducing a way to modify knots using n-trivial rational tangles, we show that knots with ...
The A-polynomial of a knot in S³ defines a complex plane curve associated to the set of representati...
A mathematical knot is an embedded circle in R3. A fundamental problem in knot theory is classifying...
We prove that if an alternating knot has unknotting number one, then there exists an unknotting cros...
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