5 problems

Let $a_1,\ldots,a_m,b\geq0$ and set $\bm{a}=(a_1,\ldots,a_m)$. A one-sided twisted complex of threaded digons is a chain of complexes obtained by increasing the number of crossings…

Gorsky–Neguț–Rasmussen conjecture. There is an isomorphism of bigraded vector spaces

Flattening conjecture. The flattening of ${\mathcal{V}}$ is a complex ${\mathcal{E}}$ satisfying the requirements of Gorsky–Negut–Rasmussen's conjecture.

Let $P_T$ be the categorified Jones--Wenzl projector indexed by a standard Young tableau $T$ of size $n$, and let $\mathring{\mathrm{FHilb}}_T(\mathbb{C})$ be the corresponding aff…

Let $n$ be a positive integer, let $w\in S_n$ be a permutation, and let $E$ be the ring from Definition of the source. Let $x_1,\ldots,x_n$ be formal indeterminates, and let…