109 citations · 467 across the 43 of their papers we have counts for
4 papers · 2 filters
Virtual and welded periods of classical knots
Hans U. Boden, Andrew J. Nicas
We show that any virtual or welded period of a classical knot can be realized as a classical period. A direct consequence is that a classical knot admits only finitely many vir…
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…
Alexander invariants of periodic virtual knots
Hans U. Boden, Andrew J. Nicas, Lindsay White
We show that every periodic virtual knot can be realized as the closure of a periodic virtual braid and use this to study the Alexander invariants of periodic virtual knots. If …