6 papers
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…
Virtual Biquandle Cocycle Quiver Representations
Alexander Bishop, Jose Ceniceros, Sam Nelson
We introduce quiver representation-valued invariants of oriented virtual knots and links associated to a choice of finite virtual biquandle, abelian group, set of virtual Boltzmann…
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…
Biquandle Module Quiver Representations
Yewon Joung, Sam Nelson
We introduce an infinite family of quiver representation-valued invariants of classical, virtual and surface-knots and links associated to a choice of finite biquandle, commutative…
Quandle Cohomology Quiver Representations
Sam Nelson
We define a family of quiver representation-valued invariants of oriented classical and virtual knots and links associated to a choice of finite quandle , abelian group , set…
Symbolic computation with finite quandles
Richard Henderson, Todd Macedo, Sam Nelson
Algorithms are described and Maple implementations are provided for finding all quandles of order , as well as computing all homomorphisms between two finite quandles or from a…