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math.GT2008★ 4 cited
Link invariants from finite Coxeter racks
Sam Nelson, Ryan Wieghard
We study Coxeter racks over and the knot and link invariants they define. We exploit the module structure of these racks to enhance the rack counting invariants and…
math.GT2007
Virtual Yang-Baxter cocycle invariants
Jose Ceniceros, Sam Nelson
We extend the Yang-Baxter cocycle invariants for virtual knots by augmenting Yang-Baxter 2-cocycles with cocycles from a cohomology theory associated to a virtual biquandle structu…