6 problems

Let $C$ be a convex monotone curve, let $L_C$ be its associated link, and let $\mathcal P^{\mathcal E}_C(a,q,t)$ and $\mathcal P^{\operatorname{KR}}_{L_C}(a,q,t)$ denote respective…

Let $C$ be a monotone curve, let $L_C$ be its associated link, and let the construction of the paper assign invariants to $C$. A link is algebraic when it arises as an algebraic li…

Let $\operatorname{Hilb}^n(\mathbb{C}^2)$ be the Hilbert scheme of $n$ points, let $\mathcal{I}$ be its tautological ideal sheaf, and let $X,Y$ be its two commuting endomorphisms.…

Let $\mathrm{A}\boldsymbol{\mathrm{Foam}}^+$ be the category of consistently oriented annular webs and foams, and let $\mathrm{A}\boldsymbol{\mathrm{Foam}}^+_{S_1}$ be its full sub…

Let $S$ be the surface supporting the tangled webs, let $\mathrm{S}\boldsymbol{\mathrm{Tan}}$ be the category of tangled webs and framed foams in four-dimensional space, and let…

Let $W$ be a finite Coxeter group with simple reflections ordered as $s_1,\ldots,s_k$, and let $\sigma_\epsilon$ be the corresponding Coxeter braid for $\epsilon\in\{\pm1\}^k$. Let…