5 problems

For positive integers $m,n$, define the normalized reduced superpolynomial … When the limit exists, call $\mathcal P_s(T_n)=\lim_{m\to\infty}\mathcal P_s(T_{m,n})$ the stable super…

Let $QA_\infty$ denote the stable object whose homology groups are being considered, and let $H_k(QA_\infty)$ be its degree-$k$ homology group. Kontsevich's conjecture. The stable…

Stable homology conjecture. The only stable homology of these Hurwitz spaces should be the obvious stable homology coming from the configuration space. The conjecture is known for…

Stable abelianization conjecture. The stable abelianization of the Lie algebra $\mathfrak{h}_{g,1}$ vanishes; namely

Let $T_n$ denote the stable limit of the $(n,m)$ torus knots as $m\to\infty$, and let $\mathcal{H}(T_n)=\lim_{m\to\infty}\mathcal{H}(T_{n,m})$. Stable-limit algebra conjecture. The…