3 papers
math.GT2025
A robot that unknots knots
Connie On Yu Hui, Dionne Ibarra, Louis H. Kauffman +4
Consider a robot that remembers only the starting position and walks along a knot once on a knot diagram, switching every undercrossing it meets until it returns to the starting po…
math.GT2025
Fundamentals of cubic skein modules
Rhea Palak Bakshi, Anthony Christiana, Huizheng Guo +6
Over the past thirty-seven years, the study of linear and quadratic skein modules has produced a rich and far-reaching skein theory, intricately connected to diverse areas of mathe…
math.GT2025
Algebraic invariants of multi-virtual links
Louis H. Kauffman, Sujoy Mukherjee, Petr VojtÄchovský
Multi-virtual knot theory was introduced in by the first author. In this paper, we initiate the study of algebraic invariants of multi-virtual links. After determining a gen…