Secant-quandle: an invariant of braids and knots
arXiv:2603.25256 · doi:10.36535/2782-4438-2026-249-38-56
Abstract
We construct a novel invariant of braids and knots, called the secant-quandle (SQ), derived from homotopy classes of generic secants and generic horizontal trisecants. This invariant provides a natural generalization of the usual knot quandle, capturing richer topological information.
16 pages, 9 figures, Presented at H. Kauffman's Quantum Topology Conference