Some asymptotics of topological quantum field theory via skein theory

DOI10.1215/00127094-2007-006zbMath1139.57030arXivmath/0604533OpenAlexW2065184796MaRDI QIDQ2475026

Julien Marché, Majid Narimannejad

Publication date: 20 March 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604533

zbMATH Keywords

semiclassical limitskein theorytopological quantum field theoryasymptotic faithfulnesscurve operators

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) General geometric structures on low-dimensional manifolds (57M50) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (10)

Asymptotics of the Hilbert-Schmidt norm of curve operators in TQFT ⋮ Profinite completions of Burnside-type quotients of surface groups ⋮ Applications of quantum representations of mapping class groups ⋮ IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS ⋮ The Kauffman skein algebra of a surface at \({\sqrt{-1}}\) ⋮ 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 ⋮ Circuit complexity of knot states in Chern-Simons theory ⋮ Notes on Topological Quantum Field Theories ⋮ Toeplitz operators in TQFT via skein theory

Cites Work

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• Skeins and mapping class groups
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