Torsion in Khovanov homology of homologically thin knots

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Knot Theory and Its Ramifications

سال: 2021

ISSN: ['1793-6527', '0218-2165']

DOI: https://doi.org/10.1142/s0218216521410157