Knot cobordism and Lee's perturbation of Khovanov homology

被引：0

作者：

Zhuang, Zipei ^{[1
]}

机构：

[1] Sch Math Sci, 220 Handan Rd, Shanghai, Peoples R China

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2022年 / 31卷 / 02期

关键词：

Khovanov homology; Lee homology; knot cobordism; torsion order;

D O I：

10.1142/S0218216522500122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a connected cobordism S between two knots K-0, K-1 in S-3, we establish an inequality involving the number of local maxima, the genus of S, and the torsion orders of Kh(t)(K-0),Kh(t)(K-1), where Kh(t) denotes Lee's perturbation of Khovanov homology. This shows that the torsion order gives a lower bound for the band-unlinking number.

引用

页数：6

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