24 citations · 49 across the 5 of their papers we have counts for
6 papers
The braid group injects in the virtual braid group
Robin Gaudreau
The virtual braid groups are generalizations of the classical braid groups. This paper gives an elementary proof that the classical braid group injects into the virtual braid group…
Classification of virtual string links up to cobordism
Robin Gaudreau
Cobordism of virtual string links on strands is a combinatorial generalization of link cobordism. There exists a bijection between virtual string links up to cobordisms and ele…
Knot theory and quantum computing
Robin Gaudreau, David Ledvinka
This paper explores the interactions between knot theory and quantum computing. On one side, knot theory has been used to create models of quantum computing, and on the other, it i…
Signature and concordance of virtual knots
Hans U. Boden, Micah Chrisman, Robin Gaudreau
We introduce Tristram-Levine signatures of virtual knots and use them to investigate virtual knot concordance. The signatures are defined first for almost classical knots, which ar…
Virtual knot cobordism and bounding the slice genus
Hans U. Boden, Micah Chrisman, Robin Gaudreau
In this paper, we compute the slice genus for many low-crossing virtual knots. For instance, we show that 1295 out of 92800 virtual knots with 6 or fewer crossings are slice, and t…
Virtual knot groups and almost classical knots
Hans U. Boden, Robin Gaudreau, Eric Harper +2
We define a group-valued invariant of virtual knots and relate it to various other group-valued invariants of virtual knots, including the extended group of Silver-Williams and the…