2 papers
math.GT2025
On the Khovanov homology of 3-braids
Dirk Schuetz
We prove the conjecture of Przytycki and Sazdanovic that the Khovanov homology of the closure of a 3-stranded braid only contains torsion of order 2. This conjecture has been known…
math.GT2024
A note on the X-torsion order of a knot
Dirk Schuetz
We show that the -torsion order of a knot, which is defined in terms of a generalised Lee complex, can be calculated using the reduced Bar-Natan--Lee--Turner spectral sequence.…