Geodesic
A spectral sequence for Khovanov homology with an application to (3,q)–torus links
Turner, Paul1
1Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, Scotland, United Kingdom
Algebraic and Geometric Topology, Tome 8 (2008) no. 2, pp. 869-884
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

Voir la notice de l'article

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.

DOI : 10.2140/agt.2008.8.869
Keywords: Khovanov homology, spectral sequence, torus link, torus knot

Turner, Paul  1

1 Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, Scotland, United Kingdom 
@article{10_2140_agt_2008_8_869,
     author = {Turner, Paul},
     title = {A spectral sequence for {Khovanov} homology with an application to (3,q){\textendash}torus links},
     journal = {Algebraic and Geometric Topology},
     pages = {869--884},
     year = {2008},
     volume = {8},
     number = {2},
     doi = {10.2140/agt.2008.8.869},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2008.8.869/}
}
TY  - JOUR
AU  - Turner, Paul
TI  - A spectral sequence for Khovanov homology with an application to (3,q)–torus links
JO  - Algebraic and Geometric Topology
PY  - 2008
SP  - 869
EP  - 884
VL  - 8
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2008.8.869/
DO  - 10.2140/agt.2008.8.869
ID  - 10_2140_agt_2008_8_869
ER  - 
%0 Journal Article
%A Turner, Paul
%T A spectral sequence for Khovanov homology with an application to (3,q)–torus links
%J Algebraic and Geometric Topology
%D 2008
%P 869-884
%V 8
%N 2
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2008.8.869/
%R 10.2140/agt.2008.8.869
%F 10_2140_agt_2008_8_869
Turner, Paul. A spectral sequence for Khovanov homology with an application to (3,q)–torus links. Algebraic and Geometric Topology, Tome 8 (2008) no. 2, pp. 869-884. doi: 10.2140/agt.2008.8.869

[1] D Bar-Natan, On Khovanov's categorification of the Jones polynomial, Algebr. Geom. Topol. 2 (2002) 337

[2] D Bar-Natan, Khovanov's homology for tangles and cobordisms, Geom. Topol. 9 (2005) 1443

[3] D Bar-Natan, Fast Khovanov homology computations, J. Knot Theory Ramifications 16 (2007) 243

[4] M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359

[5] E S Lee, An endomorphism of the Khovanov invariant, Adv. Math. 197 (2005) 554

[6] J Rasmussen, Khovanov homology and the slice genus

[7] M Stošić, Homology of torus links

[8] P R Turner, Calculating Bar-Natan's characteristic two Khovanov homology, J. Knot Theory Ramifications 15 (2006) 1335

[9] O Viro, Remarks on the definition of the Khovanov homology

Cité par Sources :