Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Torsion in Khovanov homology of homologically thin knots   We prove that every $\mathbb{Z}_2$H-thin link has no $2^k$-torsion for $k>1$
in its Khovanov homology. Together with previous results by Eun Soo Lee and the
author, 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 $\mathbb{Z}_2$. We conjecture that a
similar relation exists between the corresponding spectral sequences.

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The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: cs
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph