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| HAL : hal-00150494, version 1 |
| arXiv : math/0601291 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Pure and Applied Algebra 210 (2006) Journal of Pure and Applied Algebra, Volume 210, Issue 1, July 2007, Pages 283-298 |
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| Multivariable link invariants arising from sl(2|1) and the Alexander polynomial |
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| Nathan GeerBertrand Patureau-Mirand 1 |
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| (2006) |
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| 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. |
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| 1 : | Laboratoire de Mathématiques et Applications des Mathématiques, EA 3885 (LMAM) |
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Université de Bretagne Sud |
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| Domaine | : | Mathématiques/Topologie géométrique Mathématiques/Algèbres quantiques |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/math/0601291 |
| hal-00150494, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00150494 | |
| oai:hal.archives-ouvertes.fr:hal-00150494 | |
| Contributeur : Bertrand Patureau-Mirand | |
| Soumis le : Mercredi 30 Mai 2007, 16:25:24 | |
| Dernière modification le : Mercredi 30 Mai 2007, 16:25:24 | |
