20 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
4 papers · 1 filter
The Gordon-Litherland pairing for links in thickened surfaces
Hans U. Boden, Micah Chrisman, Homayun Karimi
We extend the Gordon-Litherland pairing to links in thickened surfaces, and use it to define signature, determinant, and nullity invariants for links that bound (unoriented) spanni…
Milnor's concordance invariants for knots on surfaces
Micah Chrisman
Milnor's -invariants of links in the -sphere vanish on any link concordant to a boundary link. In particular, they are trivial on any knot in . Here we conside…
Virtual concordance and the generalized Alexander polynomial
Hans U. Boden, Micah Chrisman
We use the Bar-Natan Zh-correspondence to identify the generalized Alexander polynomial of a virtual knot with the Alexander polynomial of a two component welded link. We show that…
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…