A spectral sequence for Khovanov homology with an application to (3, q)-torus links

被引：23

作者：

Turner, Paul ^{[1
]}

机构：

[1] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2008年 / 8卷 / 02期

关键词：

Khovanov homology; Spectral sequence; Torus knot; Torus link;

D O I：

10.2140/agt.2008.8.869

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the skein exact sequence of Khovanov homology to a spectral sequence which converges to Khovanov homology. We apply this to calculate the rational Khovanov homology of three-stranded torus links.

引用

页码：869 / 884

页数：16

共 50 条

[41] Near extremal Khovanov homology of Turaev genus one links
Beldon, Theo
Destefano, Mia
Lowrance, Adam M.
Milgrim, Wyatt
Villasenor, Cecilia
TOPOLOGY AND ITS APPLICATIONS, 2024, 346
[42] THE KHOVANOV HOMOLOGY OF A FAMILY OF THREE-COLUMN PRETZEL LINKS
Qazaqzeh, Khaled
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2011, 13 (05) : 813 - 825
[43] Mirror links have dual odd and generalized Khovanov homology
Putyra, Krzysztof K.
Lubawski, Wojciech
Algebraic and Geometric Topology, 2016, 16 (04): : 2021 - 2044
[44] Two-fold quasi-alternating links, Khovanov homology and instanton homology
Scaduto, Christopher
Storegen, Matthew
QUANTUM TOPOLOGY, 2018, 9 (01) : 167 - 205
[45] THE KHOVANOV HOMOLOGY OF (p, -p, q) PRETZEL KNOTS
Starkston, Laura
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2012, 21 (05)
[46] Links and cycles in Dehn quandle homology I: Torus links
Zablow, Joel
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2014, 23 (02)
[47] Geometric realization of the almost-extreme Khovanov homology of semiadequate links
Józef H. Przytycki
Marithania Silvero
Geometriae Dedicata, 2020, 204 : 387 - 401
[48] Geometric realization of the almost-extreme Khovanov homology of semiadequate links
Przytycki, Jozef H.
Silvero, Marithania
GEOMETRIAE DEDICATA, 2020, 204 (01) : 387 - 401
[49] Khovanov-Rozansky homology of two-bridge knots and links
Rasmussen, Jacob
DUKE MATHEMATICAL JOURNAL, 2007, 136 (03) : 551 - 583
[50] A rank inequality for the annular Khovanov homology of 2-periodic links
Zhang, Melissa
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2018, 18 (02): : 1147 - 1194

← 1 2 3 4 5 →