3 problems

A quandle is a set equipped with a binary operation satisfying the quandle axioms; it is connected when its inner automorphism group acts transitively, involutory when each right t…

Let $L_1$ and $L_2$ be Legendrian unknots, let $tb(L_i)$ denote their Thurston–Bennequin numbers, and let $\mathcal{LR}(L_i)$ denote their Legendrian racks. Scaling conjecture. If…

Let $L$ be a Legendrian unknot, let $tb(L)$ denote its Thurston–Bennequin number, and let $n$-Legendrian racks be the racks associated to $L$ by the $n$-Legendrian rack constructio…