30 citations · 184 across the 89 of their papers we have counts for
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math.GT2015★ 2 cited
Quantum Enhancements and Biquandle Brackets
Sam Nelson, Michael E. Orrison, Veronica Rivera
We introduce a new class of quantum enhancements we call biquandle brackets, which are customized skein invariants for biquandle colored links.Quantum enhancements of biquandle cou…
math.GT2015
Parity Biquandle Invariants of Virtual Knots
Aaron Kaestner, Sam Nelson, Leo Selker
We define counting and cocycle enhancement invariants of virtual knots using parity biquandles. These invariants are determined by pairs consisting of a biquandle 2-cocycle ϕ^0 and…
math.GT2015
Finite Type Enhancements
Sam Nelson
We enhance the biquandle counting invariant using elements of truncated biquandle-labeled Polyak algebras. These finite type enhancements reduce to the finite type enhancements def…