Przytycki–Sazdanović torsion conjecture for closed 3-braids

Let $K$ be the closure of a $3$-stranded braid. Its Khovanov homology is an abelian group, whose torsion subgroup records the finite-order torsion classes.

Przytycki–Sazdanović conjecture. The Khovanov homology of a closed $3$-braid can only have torsion of order $2$.

The conjecture concerns the possible torsion in Khovanov homology of braid closures. It is solved: the paper proves it, completing the cases in the Murasugi classification that were previously unresolved.