Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory
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Publication:493108
DOI10.1007/s00222-014-0555-7zbMath1328.57030arXiv1110.5027OpenAlexW2963240875MaRDI QIDQ493108
Kenji Ueno, Jørgen Ellegaard Andersen
Publication date: 11 September 2015
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.5027
conformal field theoryquantum groupmoduli spacesmodular functorgeometric quantizationTQFTHitchin connectionskein theorymodular tensor categoryWitten-Reshetikhin-Turaev invariantsFaddeev-Popov ghostsVerlinde bundle
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Topological quantum field theories (aspects of differential topology) (57R56)
Related Items
THE HITCHIN CONNECTION IN ARBITRARY CHARACTERISTIC, Non-semisimple 3-manifold invariants derived from the Kauffman bracket, Conformal nets. II: Conformal blocks, On the Witten–Reshetikhin–Turaev invariants of torus bundles, Asymptotics of the Hilbert-Schmidt norm of curve operators in TQFT, The Witten-Reshetikhin-Turaev invariant for links in finite order mapping tori. I., Notes on Chern–Simons perturbation theory, Non-semisimple TQFT's and BPS \(q\)-series, Resurgence analysis of quantum invariants of Seifert fibered homology spheres, Character varieties as a tensor product, Modular functors, cohomological field theories, and topological recursion, Asymptotic properties of the quantum representations of the mapping class group, A TQFT from quantum Teichmüller theory, The homological content of the Jones representations at q = −1, Asymptotic properties of the Hitchin-Witten connection, Asymptotic expansions of the Witten–Reshetikhin–Turaev invariants of mapping tori I, Boundary conditions for topological quantum field theories, anomalies and projective modular functors, Formal connections for families of star products
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