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- W4214772207 abstract "We prove that every [Formula: see text]H-thin link has no [Formula: see text]-torsion for [Formula: see text] 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 [Formula: see text]. We conjecture that a similar relation exists between the corresponding spectral sequences." @default.
- W4214772207 created "2022-03-02" @default.
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- W4214772207 date "2021-12-01" @default.
- W4214772207 modified "2023-09-29" @default.
- W4214772207 title "Torsion in Khovanov homology of homologically thin knots" @default.
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- W4214772207 doi "https://doi.org/10.1142/s0218216521410157" @default.
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