2 problems

Kontsevich–Efimov conjecture. The stated purity and Lefschetz result holds for generic $W$. The source proves the result when $Q$ admits an edge grading making $W$ a graded potenti…

Lefschetz property conjecture. Each $a_{\mathbf{n}}(q)$ is a positive integral combination of polynomials $P_{N,k}(q)$, where, for each $\mathbf{n}$, $N$ and the parity of $k$ are…