Homology of torus links
| dc.creator | Stosic, Marko | |
| dc.date | 2006-06-26 | |
| dc.date | 2007-08-15 | |
| dc.date.accessioned | 2026-07-07T08:23:40Z | |
| dc.date.available | 2026-07-07T08:23:40Z | |
| dc.description | 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 $2k^2n$. Furthermore, we calculate explicitely the homology groups in homological degree $2k^2n$ and prove that it coincides with the centre of the ring $H^k$ of crossingless matchings, introduced by M. Khovanov in \cite{tan}. Also we give an explicit formula for the ranks of the homology groups of $(3,n)$-torus knots for every $n\in\N$. | |
| dc.description | 18 pages; expanded version | |
| dc.identifier | https://arxiv.org/abs/math/0606656 | |
| dc.identifier | http://arxiv.org/abs/math/0606656 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136081 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57M25 | |
| dc.title | Homology of torus links | |
| dc.type | text |