Add to ORKGFor smooth knots in the 3 sphere, concordance has a purely geometrical definition as the equivalence generated by genus 0 cobordisms in the sphere times an interval. For virtual knots, the relation is extended by using diagram-based definitions. Both framed and twisted virtual knots have a rigidity imbued by a choice of unit normal vector field to the knot. This talk presents combinatorial definitions for concordance of framed and twisted virtual knots and slice obstructions coming from self-linking numbers.Non UBCUnreviewedAuthor affiliation: University of TorontoGraduat
The present paper produces examples of Gauss diagram formulae for virtual knot invariants which have...
The present paper produces examples of Gauss diagram formulae for virtual knot invariants which have...
International audienceWe consider several classes of knotted objects, namely usual, virtual and weld...
We define a notion of concordance based on Euler characteristic, and show that it gives rise to a co...
Knots and links play an important role in 3-manifolds and the equiva- lence relation of concordance ...
To a special type of grope embedded in 4-space, that we call a branch-symmetric grope, we associate ...
Knots and links play an important role in 3-manifolds and the equiva- lence relation of concordance ...
We construct and investigate the properties of a new extension of Khovanov homology to virtual links...
At the opening of the conference, our host, Hitoshi Murakami, charged the participants to consider t...
We study the group of rational concordance classes of codimension two knots in rational homology sph...
We obtain new invariants of topological link concordance and homology cobordism of 3-manifolds from ...
The goal of this paper is to introduce a new algebraic structure for coloring regions in the planar ...
AbstractWe claim that HOMFLY polynomials for virtual knots, defined with the help of the matrix-mode...
The goal of this paper is to introduce a new algebraic structure for coloring regions in the planar ...
We construct various functorial maps (projections) from virtual knots to classical knots. These maps...
The present paper produces examples of Gauss diagram formulae for virtual knot invariants which have...
The present paper produces examples of Gauss diagram formulae for virtual knot invariants which have...
International audienceWe consider several classes of knotted objects, namely usual, virtual and weld...
We define a notion of concordance based on Euler characteristic, and show that it gives rise to a co...
Knots and links play an important role in 3-manifolds and the equiva- lence relation of concordance ...
To a special type of grope embedded in 4-space, that we call a branch-symmetric grope, we associate ...
Knots and links play an important role in 3-manifolds and the equiva- lence relation of concordance ...
We construct and investigate the properties of a new extension of Khovanov homology to virtual links...
At the opening of the conference, our host, Hitoshi Murakami, charged the participants to consider t...
We study the group of rational concordance classes of codimension two knots in rational homology sph...
We obtain new invariants of topological link concordance and homology cobordism of 3-manifolds from ...
The goal of this paper is to introduce a new algebraic structure for coloring regions in the planar ...
AbstractWe claim that HOMFLY polynomials for virtual knots, defined with the help of the matrix-mode...
The goal of this paper is to introduce a new algebraic structure for coloring regions in the planar ...
We construct various functorial maps (projections) from virtual knots to classical knots. These maps...
The present paper produces examples of Gauss diagram formulae for virtual knot invariants which have...
The present paper produces examples of Gauss diagram formulae for virtual knot invariants which have...
International audienceWe consider several classes of knotted objects, namely usual, virtual and weld...