5 problems

Let $L\subset S^3$ be a link, let $\overline{OKh}(L)$ denote its reduced odd Khovanov homology, and let $\Sigma(L)$ denote the branched double-cover of $S^3$ branched along $L$. Oz…

Let $F$ be a smooth $2$-knot, let $n(F)$ denote its odd Khovanov invariant, and let $\Sigma(F)$ denote the branched double-cover associated to $F$. Miller–Wong's conjecture. For ev…

Let $F$ be a smooth $2$-knot, and let $n(F)$ be the integer-valued odd Khovanov invariant associated to a dotted broken surface diagram of $F$. Let $\Sigma(F)$ denote the branched…

Let $K\subset S^4$ be a smooth 2-knot. Removing a small neighborhood of a point of $K$ gives a smooth link cobordism from the empty link to the unknot $U$, and hence a map … For de…

The paper constructs a graded 2-functor from an odd version of a level 2 cyclotomic half 2-Kac--Moody algebra associated to $\mathfrak{gl}_n$ to the bicategory of quasi-associative…