3 papers
math.GT2026
Distinguishing Power of 4-Legendrian Permutation Racks
Luc Ta, Peyton Phinehas Wood
We study 4-Legendrian racks and their effectiveness at distinguishing Legendrian knots. We prove that permutation racks with 4-Legendrian rack structures cannot distinguish Legendr…
math.GT2026
Spherical Knot Mosaics
Ally Nagasawa-Hinck, Peyton Phinehas Wood
In this paper we introduce the notion of a spherical knot mosaic where a knot is represented by tiling the surface of a topological 2-sphere with 11 canonical knot mosaic tiles and…
math.GT2025
More Automorphism Groups of Quandles
Quinn J. M. Salix, Peyton Phinehas Wood
We prove that the displacement group of the dihedral quandle with n elements is isomorphic to the group generated by rotations of the n/2-gon when n is even and the n-gon when n is…