Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: HOMFLYPT Homology over $\mathbb{Z}_2$ Detects Unlinks   We apply the Rasmussen spectral sequence to prove that the
$\mathbb{Z}^3$-graded vector space structure of the HOMFLYPT homology over
$\mathbb{Z}_2$ detects unlinks. Our proof relies on a theorem of Batson and
Seed stating that the $\mathbb{Z}^2$-graded vector space structure of the
Khovanov homology over $\mathbb{Z}_2$ detects unlinks.

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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat