4 problems

Let $\mathcal{R}=\mathbf{F}_q[[x,y]]\subset\Omega=\mathbf{F}_q[[\epsilon_j,\zeta_j]]$, and let $\widetilde{\mathcal R}=\mathbf{F}_q[[\widetilde x,\widetilde y]]$ be the sufficientl…

Let $\mathcal{R}$ be a plane-curve-singularity ring with branches indexed by $1\le i\le\kappa$, and let $\sigma=(c_1\ge\cdots\ge c_\kappa>0)$. Define the motivic superpolynomial ……

Positive-tail thickness conjecture. The link is $\overline{Kh}'$-thick if $q>1$ and either

Mixed-tangle thickness conjecture. The link is $\overline{Kh}'$-thick if $m\ge3$, $q>1$, each $p_i$ of length at least $2$ satisfies $\overline p_i=1$, and