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Article overview
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HOMFLYPT Homology over $mathbb{Z}_2$ Detects Unlinks | Hao Wu
; | Date: |
23 Aug 2017 | Abstract: | We apply the Rasmussen spectral sequence to prove that the
$mathbb{Z}^3$-graded module structure of the HOMFLYPT homology over
$mathbb{Z}_2$ detects unlinks. Our proof relies on a theorem of Hedden and Ni
stating that the module structure of the Khovanov homology over $mathbb{Z}_2$
detects unlinks. We further prove that the $mathbb{Z}^3$-graded
$mathbb{Z}_2$-space structure of the HOMFLYPT homology over $mathbb{Z}_2$
detects the unknot. | Source: | arXiv, 1708.7139 | Services: | Forum | Review | PDF | Favorites |
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