2025/10/30 by Ta, Luc, Wood, Peyton Phinehas
#57K10 (Primary) and 57K33 (Secondary) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.2510.26619
We explore 4-Legendrian rack structures and the effectiveness of 4-Legendrian racks to distinguish Legendrian knots. We prove that permutation racks with a 4-Legendrain rack structure cannot distinguish sets of Legendrian knots with the same knot type, Thurston-Bennequin number, and rotation number.