KHOVANOV HOMOLOGY AND RASMUSSEN'S s-INVARIANTS FOR PRETZEL KNOTS

被引：5
作者：
Suzuki, Ryohei
机构：
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2010年 / 19卷 / 09期
关键词：
Pretzel knots; Khovanov homology; Rasmussen's s-invariant; Turner's spectral sequence; slice-Bennequin inequality; SLICE-BENNEQUIN INEQUALITY;
D O I：
10.1142/S0218216510008376
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We calculate the rational Khovanov homology of a class of pretzel knots by using the spectral sequence constructed by Turner. Moreover, we determine Rasmussen's s-invariant of almost all pretzel knots P(p, q, r) by using Turner's spectral sequence, a sharper slice-Bennequin inequality, and a skein inequality.
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页码：1183 / 1204
页数：22
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