6 papers
The Forbidden Quiver of a Link
Sam Nelson, Stella Shah
The forbidden moves in virtual knot theory can be used to unknot any knot, virtual or classical; however, multi-component crossings in links can still survive, resulting a fused li…
New Polynomial Decategorifications of the Quandle Coloring Quiver
Anusha Kabra, Sam Nelson
We introduce two new families of polynomial invariants of oriented classical and virtual knots and links defined as decategorfications of the quandle coloring quiver. We provide ex…
A Quick Note On Homsets and Diagrams
Sam Nelson
The homset invariant of a knot or link L with respect to an algebraic knot coloring structure X can be identified with a set of colorings of a diagram of L by elements of X via an…
Quandle Action Quivers
Mason Cai, Sam Nelson
Quandle Coloring Quivers are directed graph-valued invariants of classical and virtual knots and links associated to finite quandles. Quandle action quivers are subquivers of the f…
Richard A. Litherland: A Brief Biography
Alison Litherland, Patrick Litherland, Sam Nelson +1
Richard A. Litherland was born in 1953 in England. He received his PhD at Trinity College in Cambridge in 1979 and moved to the USA in 1983. He had a lengthy and distinguished care…
MC-Biquandles and MC-Biquandle Coloring Quivers
Seonmi Choi, Sam Nelson
We introduce the notion of mc-biquandles, algebraic structures which have possibly distinct biquandle operations at single-component and multi-component crossings. These structures…