Topological invariants from nonrestricted quantum groups

DOI10.2140/agt.2013.13.3305zbMath1273.17018arXiv1009.4120OpenAlexW3100623736MaRDI QIDQ373639

Nathan Geer, Bertrand Patureau-Mirand

Publication date: 18 October 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4120

zbMATH Keywords

homotopy quantum field theorypsi hat systemsunrestricted quantum groups

Mathematics Subject Classification ID

Related Items (15)

Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants ⋮ Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs ⋮ Uprolling unrolled quantum groups ⋮ Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories ⋮ Nonsemisimple quantum invariants and TQFTs from small and unrolled quantum groups ⋮ Non-semisimple extended topological quantum field theories ⋮ A Kazhdan-Lusztig correspondence for \(L_{-\frac{3}{2}}(\mathfrak{sl}_3)\) ⋮ Modified Turaev-Viro invariants from quantum 𝔰𝔩(2|1) ⋮ Non‐semisimple Levin–Wen models and Hermitian TQFTs from quantum (super)groups ⋮ Modified \(6j\)-symbols and 3-manifold invariants ⋮ Modified graded Hennings invariants from unrolled quantum groups and modified integral ⋮ The trace on projective representations of quantum groups ⋮ A Hennings type invariant of 3-manifolds from a topological Hopf superalgebra ⋮ Relative (pre)-modular categories from special linear Lie superalgebras ⋮ Some remarks on the unrolled quantum group of \(\mathfrak{sl}(2)\)

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