Jonah Greenberg
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View article: Virtual multicrossings and petal diagrams for virtual knots and links
Virtual multicrossings and petal diagrams for virtual knots and links Open
Multicrossings, which have previously been defined for classical knots and links, are extended to virtual knots and links. In particular, petal diagrams are shown to exist for all virtual knots.
View article: Turaev hyperbolicity of classical and virtual knots
Turaev hyperbolicity of classical and virtual knots Open
By work of W. Thurston, knots and links in the 3-sphere are known to either be torus links, or to contain an essential torus in their complement, or to be hyperbolic, in which case a unique hyperbolic volume can be calculated for their com…
View article: TG-Hyperbolicity of Virtual Links
TG-Hyperbolicity of Virtual Links Open
We extend the theory of hyperbolicity of links in the 3-sphere to tg-hyperbolicity of virtual links, using the fact that the theory of virtual links can be translated into the theory of links living in closed orientable thickened surfaces.…