Multivariable link invariants arising from sl(2|1) and the Alexander polynomial
| dc.creator | Geer, Nathan | |
| dc.creator | Patureau-Mirand, Bertrand | |
| dc.date | 2006-01-12 | |
| dc.date | 2006-10-19 | |
| dc.date.accessioned | 2026-07-07T06:58:51Z | |
| dc.date.available | 2026-07-07T06:58:51Z | |
| dc.description | In this paper we construct a multivariable link invariant arising from the quantum group associated to the special linear Lie superalgebra sl(2|1). The usual quantum group invariant of links associated to (generic) representations of sl(2|1) is trivial. However, we modify this construction and define a nontrivial link invariant. This new invariant can be thought of as a multivariable version of the Links-Gould invariant. We also show that after a variable reduction our invariant specializes to the Conway potential function, which is a version of the multivariable Alexander polynomial. | |
| dc.description | 19 pages, to appear in Journal of Pure and Applied Algebra. Several changes and a proof added. (see math.GT/0609034 for other Lie superalgebras) | |
| dc.identifier | https://arxiv.org/abs/math/0601291 | |
| dc.identifier | http://arxiv.org/abs/math/0601291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107524 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57M27; 17B37; 57M25 | |
| dc.title | Multivariable link invariants arising from sl(2|1) and the Alexander polynomial | |
| dc.type | text |