The Homfly polynomial of the decorated Hopf link
| dc.creator | Morton, Hugh R. | |
| dc.creator | Lukac, Sascha G. | |
| dc.date | 2001-08-02 | |
| dc.date.accessioned | 2026-07-07T04:42:50Z | |
| dc.date.available | 2026-07-07T04:42:50Z | |
| dc.description | The main goal is to find the Homfly polynomial of a link formed by decorating each component of the Hopf link with the closure of a directly oriented tangle. Such decorations are spanned in the Homfly skein of the annulus by elements Q_λ, depending on partitions λ. We show how to find the 2-variable Homfly invariant <λ,μ> of the Hopf link arising from decorations Q_λand Q_μin terms of the Schur symmetric function s_μof an explicit power series depending on λ. We show also that the quantum invariant of the Hopf link coloured by irreducible sl(N)_q modules V_λand V_μ, which is a 1-variable specialisation of <λ,μ>, can be expressed in terms of an N x N minor of the Vandermonde matrix (q^{ij}). | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0108011 | |
| dc.identifier | http://arxiv.org/abs/math/0108011 | |
| dc.identifier | J. Knot Theory Ramif. 12 (2003), 395-416 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61953 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | The Homfly polynomial of the decorated Hopf link | |
| dc.type | text |