Topological invariants from quantum group \(\mathcal {U}_{\xi }\mathfrak {sl}(2|1)\) at roots of unity (Q1640161)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological invariants from quantum group \(\mathcal {U}_{\xi }\mathfrak {sl}(2|1)\) at roots of unity |
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Topological invariants from quantum group \(\mathcal {U}_{\xi }\mathfrak {sl}(2|1)\) at roots of unity (English)
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13 June 2018
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The paper under review constructs link invariants and \(3\)-manifold invariants using nilpotent irreducible finite dimensional representations of the quantum group \(U_{\xi}\mathfrak{sl}(2|1)\), for \(\xi\) an odd root of unity. The construction is based upon the notions of modified dimension, modified trace and relative \(G\)-modular category.
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Lie superalgebra
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quantum group
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link invariant
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3-manifold
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