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math.GT2026
Biquandle Fares and Link Invariants
Sam Nelson, Stella Shah
We introduce a new family of invariants of oriented classical and virtual knots and links using fares, maps from paths in biquandle-colored diagrams to an abelian coefficient group…
math.GT2026
Birack Bracket Quivers and Framed Links
Sam Nelson, Haoqi Tom Tang
We introduce birack brackets, skein invariants of birack-colored framed classical and virtual knots and links with values in a commutative unital ring. The multiset of birack brack…