Topological invariants from quantum group $$\mathcal {U}_{\xi }\mathfrak {sl}(2|1)$$ at roots of unity |
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Authors: | Ngoc Phu Ha |
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Institution: | 1.Laboratoire de Mathématiques de Bretagne Atlantique,Université de Bretagne Sud, Centre de Recherche, Campus de Tohannic,Vannes,France |
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Abstract: | In this article we construct link invariants and 3-manifold invariants from the quantum group associated with the Lie superalgebra \(\mathfrak {sl}(2|1)\). The construction is based on nilpotent irreducible finite dimensional representations of quantum group \(\mathcal {U}_{\xi }\mathfrak {sl}(2|1)\) where \(\xi \) is a root of unity of odd order. These constructions use the notion of modified trace and relative \( G \)-modular category of previous authors. |
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