4 problems

Invariance conjecture. The graded dimension of $HHH^y_{\operatorname{Sym}^{l_1},\dots,\operatorname{Sym}^{l_n}}(\mathcal{L})$ is independent of the braid representative and all mar…

Let $P^y_{\boldsymbol{\bigl.\lambda}}$ be $y$-ifications of the categorified projectors $P_{\lambda}$. For an $r$-component link…

Well-defined 3D TQFT conjecture. The above assignments of the values of $Z$ are part of the data of a well-defined 3D TQFT.

Split-link characterization. $B$ represents an $n$-split link if and only if