论文信息 - On the Khovanov Homology of 2- and 3-Strand Braid Links

On the Khovanov Homology of 2- and 3-Strand Braid Links

Although computing the Khovanov homology of links is common in literature, no general formulae have been given for all of them. We give the graded Euler characteristic and the Khovanov homology of the 2-strand braid link ,, and the 3-strand braid .

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

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

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

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

[5] Mikhail Khovanov. A categorification of the Jones polynomial , 1999 .

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

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