In this paper we show that there is a cut-off in the Khovanov homology of (2k,2kn)-torus links, namely that the maximal homological degree of non-zero homology group of (2k,2kn)-torus link is 2k2n
Nearby in the stack
. Furthermore, we calculate explicitely the homology groups in homological degree
2k2n
and prove that it coincides with the centre of the ring
Hk
of crossingless matchings, introduced by M. Khovanov in tan. Also we give an explicit formula for the ranks of the homology groups of