Calculating Bar-Natan's characteristic two Khovanov homology

被引：32

作者：

Turner, Paul R. ^{[1
]}

机构：

[1] Heriot Watt Univ, Sch Math & Comp Sci, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2006年 / 15卷 / 10期

关键词：

Khovanov homology; link homology; Bar-Natan theory; spectral sequence;

D O I：

10.1142/S0218216506005111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate Bar-Natan's characteristic two Khovanov link homology theory studying both the filtered and bi-graded theories. The filtered theory is computed explicitly and the bi-graded theory analysed by setting up a family of spectral sequences. The E-2-pages can be described in terms of groups arising from the action of a certain endomorphism on F-2-Khovanov homology. Some simple consequences are discussed.

引用

页码：1335 / 1356

页数：22

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