323 citations
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Showing 2012 · math.GTShow all
3 papers · 2 filters
math.GT2012
Quantum Enhancements of Involutory Birack Counting Invariants
Sam Nelson, Veronica Rivera
The involutory birack counting invariant is an integer-valued invariant of unoriented tangles defined by counting homomorphisms from the fundamental involutory birack of the tangle…
math.GT2012
Polynomial Birack Modules
Evan Cody, Sam Nelson
Birack modules are modules over an algebra Z[X] associated to a finite birack X. In previous work, birack module structures on Z mod n were used to enhance the birack counting inva…
math.GT2012
Birack Dynamical Cocycles and Homomorphism Invariants
Sam Nelson, Emily Watterberg
Biracks are algebraic structures related to knots and links. We define a new enhancement of the birack counting invariant for oriented classical and virtual knots and links via alg…