Add to ORKGIn this paper, we present necessary and sufficient combinatorial conditions for a link to be projective, that is, a link in $RP^3$. This characterization is closely related to the notions of antipodally self-dual and antipodally symmetric maps. We also discuss the notion of symmetric cycle, an interesting issue arising in projective links leading us to an easy condition to prevent a projective link to be alternating.Comment: arXiv admin note: substantial text overlap with arXiv:2106.0537
AbstractA NEW combinatorial formulation of the Jones polynomial of a link is used to establish some ...
We prove some necessary conditions for a link to be either concordant to a quasi-positive link, quas...
AbstractWe are concerned with two-component links of real projective planes in the four sphere, and ...
AbstractA (tame) link can be defined as a finite collection of disjoint polygons embedded in Euclide...
We apply the twisting technique that was first introduced in \cite{CK} and later generalized in \cit...
We define monotone links on a torus, obtained as projections of curves in the plane whose coordinate...
Since the 1980s, it has been known that essential surfaces in alternating link complements can be is...
We consider the number of colors for the colorings of links by the symmetric group $S_3$ of degree $...
We introduce a framework to analyze knots and links in an unmarked solid torus. We discuss invariant...
A knot is a circle piecewise-linearly embedded into the 3-sphere. The topology of a knot is intimate...
Traditionally, alternating links are studied with alternating diagrams on $S^2$ in $S^3$. In this pa...
AbstractGiven a θ-curve in S3, an associated link can be defined as a knot type invariant of the θ-C...
We present a simple combinatorial model for quasipositive surfaces and positive braids, based on emb...
Given a link in a 3-manifold such that the complement is hyperbolic, we provide two modifications to...
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive...
AbstractA NEW combinatorial formulation of the Jones polynomial of a link is used to establish some ...
We prove some necessary conditions for a link to be either concordant to a quasi-positive link, quas...
AbstractWe are concerned with two-component links of real projective planes in the four sphere, and ...
AbstractA (tame) link can be defined as a finite collection of disjoint polygons embedded in Euclide...
We apply the twisting technique that was first introduced in \cite{CK} and later generalized in \cit...
We define monotone links on a torus, obtained as projections of curves in the plane whose coordinate...
Since the 1980s, it has been known that essential surfaces in alternating link complements can be is...
We consider the number of colors for the colorings of links by the symmetric group $S_3$ of degree $...
We introduce a framework to analyze knots and links in an unmarked solid torus. We discuss invariant...
A knot is a circle piecewise-linearly embedded into the 3-sphere. The topology of a knot is intimate...
Traditionally, alternating links are studied with alternating diagrams on $S^2$ in $S^3$. In this pa...
AbstractGiven a θ-curve in S3, an associated link can be defined as a knot type invariant of the θ-C...
We present a simple combinatorial model for quasipositive surfaces and positive braids, based on emb...
Given a link in a 3-manifold such that the complement is hyperbolic, we provide two modifications to...
We prove that any link admitting a diagram with a single negative crossing is strongly quasipositive...
AbstractA NEW combinatorial formulation of the Jones polynomial of a link is used to establish some ...
We prove some necessary conditions for a link to be either concordant to a quasi-positive link, quas...
AbstractWe are concerned with two-component links of real projective planes in the four sphere, and ...