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HOMFLYPT homology over $ℤ_{2}$ detects unlinks

Department of Mathematics, The George Washington University, Phillips Hall, Room 739, 801 22nd Street NW, Washington DC 20052, USA

E-mail Address: haowu@gwu.edu

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https://doi.org/10.1142/S0218216522500729Cited by:0 (Source: Crossref)

Abstract

We apply the Rasmussen spectral sequence to prove that the $ℤ^{3}$ -graded vector space structure of the HOMFLYPT homology over $ℤ_{2}$ detects unlinks. Our proof relies on a theorem of Batson and Seed stating that the $ℤ^{2}$ -graded vector space structure of the Khovanov homology over $ℤ_{2}$ detects unlinks.

Keywords:

AMSC: 57M27

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