Modular functors are determined by their genus zero data

DOI10.4171/QT/29zbMath1263.57025arXivmath/0611087MaRDI QIDQ436020

Kenji Ueno, Jørgen Ellegaard Andersen

Publication date: 13 July 2012

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611087

zbMATH Keywords

S-matrixmapping class groupstopological quantum field theoryModular functors

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Topological quantum field theories (aspects of differential topology) (57R56)

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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., Anyonic topological order in twisted equivariant differential (TED) K-theory, Resurgence analysis of quantum invariants of Seifert fibered homology spheres, Character varieties as a tensor product, Hitchin's connection, Toeplitz operators, and symmetry invariant deformation quantization, Hitchin's connection in metaplectic quantization, The Witten-Reshetikhin-Turaev invariants of finite order mapping tori. II., Modular functors, cohomological field theories, and topological recursion, Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory, Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory, 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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