Quantum \(SU(2)\) faithfully detects mapping class groups modulo center

DOI10.2140/gt.2002.6.523zbMath1037.57024arXivmath/0209150OpenAlexW3100521573MaRDI QIDQ1426820

Kevin Walker, Zhenghan Wang, Michael Hartley Freedman

Publication date: 15 March 2004

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

Full work available at URL: https://arxiv.org/abs/math/0209150

zbMATH Keywords

mapping class groupsJones-Witten theoryQuantum invariants

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Semisimple Lie groups and their representations (22E46) Topological quantum field theories (aspects of differential topology) (57R56) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items

Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants, Frattini and related subgroups of mapping class groups, Profinite completions of Burnside-type quotients of surface groups, Applications of quantum representations of mapping class groups, Character varieties as a tensor product, IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS, Hitchin's connection, Toeplitz operators, and symmetry invariant deformation quantization, Some asymptotics of topological quantum field theory via skein theory, On Burau's representations at roots of unity, Quantum representations and monodromies of fibered links, An analytic family of representations for the mapping class group of punctured surfaces, Norm estimates and asymptotic faithfulness of the quantum \(SU (n)\) representations of the mapping class group, Two questions on mapping class groups, The homological content of the Jones representations at q = −1, Notes on Topological Quantum Field Theories, Toeplitz operators in TQFT via skein theory, Symbolic Calculus for Singular Curve Operators, Modular categories with transitive Galois actions

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