Secant-quandle: an invariant of braids and knots

We construct a novel invariant of braids and knots, secant-quandle (SQ),with generic secants serving as generators and generic horizontal trisecants serving as relations, i.e., $SQ=\mathrm{\Gamma }<{\mathcal{S}}_M\mid {\mathcal{T}}_M,{\mathcal{E}}_M>$, where $M$ is a braid or link.