Norm estimates and asymptotic faithfulness of the quantum \(SU (n)\) representations of the mapping class group

DOI10.1007/s10711-019-00461-1OpenAlexW3099368521MaRDI QIDQ2290862

Genkai Zhang, Xueyuan Wan

Publication date: 29 January 2020

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07571

zbMATH Keywords

representationmapping class groupnorm estimatesfaithfulnesspeak sections

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Topological quantum field theories (aspects of differential topology) (57R56) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Asymptotic faithfulness of the quantum \(\text{SU}(n)\) representations of the mapping class groups
• Holomorphic vector bundles on a compact Riemann surface
• Flat connections and geometric quantization
• Hitchin's Projectively Flat Connection, Toeplitz Operators and the Asymptotic Expansion of TQFT Curve Operators
• Quantum invariants of knots and 3-manifolds

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