323 citations
- Claremont Graduate UniversityUS16 papers
- Scripps CollegeUS10 papers
- Pomona CollegeUS9 papers
- Harvey Mudd CollegeUS7 papers
- Pitzer CollegeUS7 papers
- Georgia Institute of TechnologyUS4 papers
- Arizona State UniversityUS3 papers
- Jagiellonian UniversityPL3 papers
- Massachusetts Institute of TechnologyUS3 papers
- University of California, Los AngelesUS3 papers
- University of ConnecticutUS3 papers
- University of South FloridaUS3 papers
40 papers · 1 filter
Center of generalized skein algebras
Hiroaki Karuo, Han-Bom Moon, Helen Wong
We consider a generalization of the Kauffman bracket skein algebra of a surface that is generated by loops and arcs between marked points on the interior or boundary, up to skein r…
Psyquandle Coloring Quivers
Jose Ceniceros, Anthony Christiana, Sam Nelson
We enhance the psyquandle counting invariant for singular knots and pseudoknots using quivers analogously to quandle coloring quivers. This enables us to extend the in-degree polyn…
Skew Brace Enhancements
Melody Chang, Sam Nelson
We use the structure of skew braces to enhance the biquandle counting invariant for virtual knots and links for finite biquandles defined from skew braces. We introduce two new inv…
Tribracket Polynomials
Sam Nelson, Fletcher Nickerson
We introduce a six-variable polynomial invariant of Niebrzydowski tribrackets analogous to quandle,rack and biquandle polynomials. Using the subtribrackets of a tribracket, we addi…
G-Family Polynomials
Sam Nelson, Madeline Brown
We introduce two notions of quandle polynomials for G-families of quandles: the quandle polynomial of the associated quandle and a G-family polynomial with coefficients in the grou…
Quandle Coloring Quivers of Surface-Links
Jieon Kim, Sam Nelson, Minju Seo
Quandle coloring quivers are directed graph-valued invariants of oriented knots and links, defined using a choice of finite quandle and set of endom…