HOMFLYPT homology over Z2 detects unlinks

被引：0

作者：

Wu, Hao ^{[1
]}

机构：

[1] George Washington Univ, Dept Math, Phillips Hall,Room 739,801 22nd St NW, Washington, DC 20052 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2022年 / 31卷 / 11期

关键词：

HOMFLYPT homology; Rasmussen spectral sequence; Khovanov homology; unknot; unlink; MATRIX FACTORIZATIONS; KHOVANOV;

D O I：

10.1142/S0218216522500729

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

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页数：19

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