Add to ORKGAbstract. In the tables of two component links up to nine cross-ing there are 92 prime links. These different links take a variety of forms and, inspired by a proof that Borromean circles are im-possible, the questions are raised: Is there a possibility for the components of links to be geometric shapes? How can we deter-mine if a link can be formed by a shape? Is there a link invariant we can use for this determination? These questions are answered with proofs along with a tabulation of the link invariants; Conway polynomial, linking number, and enhanced linking number, in the following report on “Using Link Invariants to Determine Shapes for Links”. 1. An Introduction to Links By definition, a link is a set of knotted loops all tangled to...
s paper presents some examples and a survey of results concerning a new way of presenting knots and ...
Graphs are often used as a research tool in knot theory. This is because there is a one-to-one corre...
A “butterfly diagram” is a representation of a knot as a kind of graph on the sphere. This generaliz...
We will examine the relationship between Klein links and Torus links, using both diagrammatic techni...
Abstract The central discovery of 2d conformal theory was holomorphic factorization, which expressed...
We construct a link homotopy invariant for three-component spherical link maps which is a generalisa...
AbstractA (tame) link can be defined as a finite collection of disjoint polygons embedded in Euclide...
Abstract. This paper proves that there is an intrinsic link in complete n-complexes on (2n + 4)-vert...
Let $L$ be a fixed link. Given a link diagram $D$, is there a sequence of crossing exchanges and smo...
We introduce a framework to analyze knots and links in an unmarked solid torus. We discuss invariant...
Abstract. After describing classical Borromean links and their properties, Borromean property and Br...
A link is an embedding of some number of circles into three dimensional space that may be knotted or...
Abstract. We introduce a new invariant of tangles along with an algebraic framework in which to unde...
We investigate characteristics of two classes of links in knot theory: torus links and Klein links. ...
AbstractGiven a θ-curve in S3, an associated link can be defined as a knot type invariant of the θ-C...
s paper presents some examples and a survey of results concerning a new way of presenting knots and ...
Graphs are often used as a research tool in knot theory. This is because there is a one-to-one corre...
A “butterfly diagram” is a representation of a knot as a kind of graph on the sphere. This generaliz...
We will examine the relationship between Klein links and Torus links, using both diagrammatic techni...
Abstract The central discovery of 2d conformal theory was holomorphic factorization, which expressed...
We construct a link homotopy invariant for three-component spherical link maps which is a generalisa...
AbstractA (tame) link can be defined as a finite collection of disjoint polygons embedded in Euclide...
Abstract. This paper proves that there is an intrinsic link in complete n-complexes on (2n + 4)-vert...
Let $L$ be a fixed link. Given a link diagram $D$, is there a sequence of crossing exchanges and smo...
We introduce a framework to analyze knots and links in an unmarked solid torus. We discuss invariant...
Abstract. After describing classical Borromean links and their properties, Borromean property and Br...
A link is an embedding of some number of circles into three dimensional space that may be knotted or...
Abstract. We introduce a new invariant of tangles along with an algebraic framework in which to unde...
We investigate characteristics of two classes of links in knot theory: torus links and Klein links. ...
AbstractGiven a θ-curve in S3, an associated link can be defined as a knot type invariant of the θ-C...
s paper presents some examples and a survey of results concerning a new way of presenting knots and ...
Graphs are often used as a research tool in knot theory. This is because there is a one-to-one corre...
A “butterfly diagram” is a representation of a knot as a kind of graph on the sphere. This generaliz...