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Article Dans Une Revue Quantum Topology Année : 2022

Non-semisimple 3-manifold invariants derived from the Kauffman bracket

Résumé

We recover the family of non-semisimple quantum invariants of closed oriented 3-manifolds associated with the small quantum group of sl(2) using purely combinatorial methods based on Temperley–Lieb algebras and Kauffman bracket polynomials. These invariants can be understood as a first-order extension of Witten–Reshetikhin–Turaev invariants, which can be reformulated following our approach in the case of rational homology spheres.

Dates et versions

hal-04230750 , version 1 (06-10-2023)

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Citer

Marco de Renzi, Jun Murakami. Non-semisimple 3-manifold invariants derived from the Kauffman bracket. Quantum Topology, 2022, 13 (2), pp.255-333. ⟨10.4171/QT/164⟩. ⟨hal-04230750⟩
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