323 citations
- Claremont Graduate UniversityUS16 papers
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4 papers · 1 filter
Link invariants from finite Coxeter racks
Sam Nelson, Ryan Wieghard
We study Coxeter racks over and the knot and link invariants they define. We exploit the module structure of these racks to enhance the rack counting invariants and…
Algebraic points of small height missing a union of varieties
Lenny Fukshansky
Let be a number field, , or the field of rational functions on a smooth projective curve over a perfect field, and let be a subspace of , $N \geq…
Link invariants from finite racks
Sam Nelson
We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle…
Generalized quandle polynomials
Sam Nelson
We define a family of generalizations of the two-variable quandle polynomial. These polynomial invariants generalize in a natural way to eight-variable polynomial invariants of fin…