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.
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页数：6
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