Add to ORKGWe show that Lissajous knots are equivalent to billiard knots in a cube. We consider also knots in general 3-dimensional billiard tables. We analyse symmetry of knots in billiard tables and show in particular that the Alexander polynomial of a Lissajous knot is a square modulo 2
Abstract. For a knot K the cube number is a knot invariant defined to be the smallest n for which th...
A Lissajous knot K in R3 is a knot that has a parametriza-tion K(t) = (x(t), y(t), z(t)) given by x...
The purpose of this project is to explore the subject of knot theory. We consider knot invariants, i...
We show that the Conway polynomials of Fibonacci links are Fibonacci polynomials modulo 2. We deduce...
International audienceA point in the (N, q)-torus knot in R 3 goes q times along a vertical circle w...
We define cylinder knots as billiard knots in a cylinder. We present a necessary condition for cylin...
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
Abstract. For a knot K the cube number is a knot invariant defined to be the smallest n for which th...
Title: Alexander polynomial Author: Ľubica Jančová Department: Department of Algebra Supervisor: doc...
A knot is an embedding of a circle S1 into the three-dimensional sphere S3. A component link is an e...
A Lissajous knot is one that can be parameterized as K(t)= (cos(n_x t+φ_x), cos(n_y t+φ_y) ,cos(n_z...
In this MSc thesis, which deals with certain topics from knot theory, we will engage with the proble...
For a knot K the cube number is a knot invariant defined to be the smallest n for which there is a c...
The multivariable Alexander polynomial (MVA) is a classical invariant of knots and links. We give a...
We introduce a new invariant of tangles along with an algebraic framework in which to understand it....
Abstract. For a knot K the cube number is a knot invariant defined to be the smallest n for which th...
A Lissajous knot K in R3 is a knot that has a parametriza-tion K(t) = (x(t), y(t), z(t)) given by x...
The purpose of this project is to explore the subject of knot theory. We consider knot invariants, i...
We show that the Conway polynomials of Fibonacci links are Fibonacci polynomials modulo 2. We deduce...
International audienceA point in the (N, q)-torus knot in R 3 goes q times along a vertical circle w...
We define cylinder knots as billiard knots in a cylinder. We present a necessary condition for cylin...
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important re...
Abstract. For a knot K the cube number is a knot invariant defined to be the smallest n for which th...
Title: Alexander polynomial Author: Ľubica Jančová Department: Department of Algebra Supervisor: doc...
A knot is an embedding of a circle S1 into the three-dimensional sphere S3. A component link is an e...
A Lissajous knot is one that can be parameterized as K(t)= (cos(n_x t+φ_x), cos(n_y t+φ_y) ,cos(n_z...
In this MSc thesis, which deals with certain topics from knot theory, we will engage with the proble...
For a knot K the cube number is a knot invariant defined to be the smallest n for which there is a c...
The multivariable Alexander polynomial (MVA) is a classical invariant of knots and links. We give a...
We introduce a new invariant of tangles along with an algebraic framework in which to understand it....
Abstract. For a knot K the cube number is a knot invariant defined to be the smallest n for which th...
A Lissajous knot K in R3 is a knot that has a parametriza-tion K(t) = (x(t), y(t), z(t)) given by x...
The purpose of this project is to explore the subject of knot theory. We consider knot invariants, i...