109 citations · 467 across the 43 of their papers we have counts for
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Concordance invariants of null-homologous knots in thickened surfaces
Hans U. Boden, Homayun Karimi
Using the Gordon-Litherland pairing, one can define invariants (signature, nullity, determinant) for null-homologous links in thickened surfaces. In this paper, we…
Braid representatives minimizing the number of simple walks
Hans U. Boden, Matthew Shimoda
Given a knot, we develop methods for finding the braid representative that minimizes the number of simple walks. Such braids lead to an efficient method for computing the colored J…
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…
Minimal crossing number implies minimal supporting genus
Hans U. Boden, William Rushworth
A virtual link may be defined as an equivalence class of diagrams, or alternatively as a stable equivalence class of links in thickened surfaces. We prove that a minimal crossing v…