论文信息 - Khovanov homology of braid links

Khovanov homology of braid links

Although computing the Khovanov homology of links is common in literature, no general formulae have been given for all families of knots and links. We give the general formulae of the Khovanov homology of the family of 2-strand braid links ˆxn1 and the family of 3-strand braid links ˆΔ2k, where Δ=x1x2x1.

[1] Dror Bar-Natan. On Khovanov’s categorification of the Jones polynomial , 2002 .

[2] Dror Bar-Natan. FAST KHOVANOV HOMOLOGY COMPUTATIONS , 2006 .

[3] Mikhail Khovanov. Patterns in Knot Cohomology, I , 2003, Exp. Math..

[4] J. W. Alexander. Topological invariants of knots and links , 1928 .

[5] K. Reidemeister. Elementare Begründung der Knotentheorie , 1927 .

[6] V. Jones. A polynomial invariant for knots via von Neumann algebras , 1985 .

[7] Louis H. Kauffman,et al. State Models and the Jones Polynomial , 1987 .

[8] Marko Stosic. Properties of Khovanov homology for positive braid knots , 2005 .

[9] E. Artin. The theory of braids. , 1950, American scientist.