There are obvious inequalities relating the Nakanishi index of a knot, the bridge number, the degree 2n of the Alexander polynomial and the length of the chain of Alexander ideals. We give examples for every positive value of n to show that these bounds are sharp
Title: Alexander polynomial Author: Ľubica Jančová Department: Department of Algebra Supervisor: doc...
We call a knot K a complete Alexander neighbor if every possible Alexander polynomial is realized by...
AbstractRasmussen introduced a knot invariant based on Khovanov homology theory, and showed that thi...
The Alexander ideals of classical knots are characterised, a result which extends to certain higher ...
In knot theory, a knot may have an invariant which is easily computed but difficult to understand ge...
Abstract. The Alexander polynomial is the very rst polynomial knot invariant discovered. In this exp...
We give necessary conditions for a polynomial to be the Conway polynomial of a two-bridge link. As a...
Ozsváth and Szabo ́ have defined a knot concordance invariant τ that bounds the 4–ball genus of a k...
AbstractWe prove that the number of primitive Vassiliev knot invariants of degree d grows at least a...
Ozsvath and Szabo have dened a knot concordance invariant that bounds the 4{ball genus of a knot. H...
Graduation date: 2013The Alexander polynomial is a well understood classical knot invariant with int...
AbstractSuppose that a knot is deformed into another knot by a ν-unknotting operation. Then we will ...
The Alexander ideals of classical knots are characterised, a result which extends to certain higher ...
Every two-bridge knot or link is characterized by a rational number p/q, and has a fundamental group...
Knot theory and arithmetic invariant theory are two fields of mathematics that rely on algebraic inv...
Title: Alexander polynomial Author: Ľubica Jančová Department: Department of Algebra Supervisor: doc...
We call a knot K a complete Alexander neighbor if every possible Alexander polynomial is realized by...
AbstractRasmussen introduced a knot invariant based on Khovanov homology theory, and showed that thi...
The Alexander ideals of classical knots are characterised, a result which extends to certain higher ...
In knot theory, a knot may have an invariant which is easily computed but difficult to understand ge...
Abstract. The Alexander polynomial is the very rst polynomial knot invariant discovered. In this exp...
We give necessary conditions for a polynomial to be the Conway polynomial of a two-bridge link. As a...
Ozsváth and Szabo ́ have defined a knot concordance invariant τ that bounds the 4–ball genus of a k...
AbstractWe prove that the number of primitive Vassiliev knot invariants of degree d grows at least a...
Ozsvath and Szabo have dened a knot concordance invariant that bounds the 4{ball genus of a knot. H...
Graduation date: 2013The Alexander polynomial is a well understood classical knot invariant with int...
AbstractSuppose that a knot is deformed into another knot by a ν-unknotting operation. Then we will ...
The Alexander ideals of classical knots are characterised, a result which extends to certain higher ...
Every two-bridge knot or link is characterized by a rational number p/q, and has a fundamental group...
Knot theory and arithmetic invariant theory are two fields of mathematics that rely on algebraic inv...
Title: Alexander polynomial Author: Ľubica Jančová Department: Department of Algebra Supervisor: doc...
We call a knot K a complete Alexander neighbor if every possible Alexander polynomial is realized by...
AbstractRasmussen introduced a knot invariant based on Khovanov homology theory, and showed that thi...