7 problems

Let $L$ be a link, let $I_q(L)$ be the ideal of quantum relations annihilating the distinguished class $[L]$, let $I_q'(L)$ be the annihilator of its evaluation in antisymmetric co…

Let $L$ be a link, let $\mathsf{H}_q(L)$ be its HOMFLYPT difference module, let $[L]$ be its distinguished link class, and let $\mathsf{ev}\colon \mathsf{H}(L)\to \mathcal{F}_r$ be…

Let $L$ be a link, let $\mathsf{H}_q(L)$ be its HOMFLYPT difference module, let $\mathsf{ev}\colon \mathsf{H}_q(L)\to \mathcal{F}_r$ be the evaluation map to colored HOMFLYPT polyn…

Let $\mathcal{L}^{\vec{\tau}}$ be a framed $L$-component link, and let $p_{r_1,\ldots,r_L}(\mathcal{L}^{\vec{\tau}};q,a)$ be the Laurent polynomial appearing after factoring…

Let $\mathcal{L}^{\vec{\tau}}$ be a framed $L$-component link with component framings $\vec{\tau}=(\tau_1,\ldots,\tau_L)$. For nonnegative integers $r_1,\ldots,r_L$, not all zero,…

Let $\mathrm{BSk}_n(T^2,*)$ be the braid skein algebra of the punctured torus with $n$ strands, and let $\mathrm{Sk}_n(T^2,*)$ be the corresponding full framed Homflypt tangle skei…

Let $\mathrm{Sk}(T^2-D^2)$ be the Homflypt skein algebra of the punctured torus, and let $\mathcal{E}_{\sigma,\bar\sigma}$ be the elliptic Hall algebra with generators…