24 citations · 77 across the 18 of their papers we have counts for
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math.GT2011★ 18 cited
Polynomial knot and link invariants from the virtual biquandle
Alissa S. Crans, Allison Henrich, Sam Nelson
The Alexander biquandle of a virtual knot or link is a module over a 2-variable Laurent polynomial ring which is an invariant of virtual knots and links. The elementary ideals of t…
math.GT2011★ 1 cited
Enhancements of the rack counting invariant via N-reduced dynamical cocycles
Alissa S. Crans, Sam Nelson, Aparna Sarkar
We introduce the notion of N-reduced dynamical cocycles and use these objects to define enhancements of the rack counting invariant for classical and virtual knots and links. We pr…