| Abstrakt: |
We prove that every ℤ 2 H-thin link has no 2 k -torsion for k > 1 in its Khovanov homology. Together with previous results by Lee [The support of the Khovanov's invariants for alternating knots, preprint (2002), arXiv:math.GT/0201105; An endomorphism of the Khovanov invariant, Adv. Math.197(2) (2005) 554–586, arXiv:math.GT/0210213] and the author [Torsion of Khovanov homology, Fund. Math.225 (2014) 343–364, arXiv:math.GT/0405474], this implies that integer Khovanov homology of non-split alternating links is completely determined by the Jones polynomial and signature. Our proof is based on establishing an algebraic relation between Bockstein and Turner differentials on Khovanov homology over ℤ 2 . We conjecture that a similar relation exists between the corresponding spectral sequences. [ABSTRACT FROM AUTHOR] |
