On the asymptotics of quantum SU(2) representations of mapping class groups

DOI10.1515/FORUM.2006.017zbMath1120.57014arXivmath/0409503MaRDI QIDQ5487096

Michael Hartley Freedman, Vyacheslav S. Krushkal

Publication date: 18 September 2006

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409503

zbMATH Keywords

mapping class groupmetaplectic representationFell topologybraid groupKazhdan property Talmost invariant vectorsQuantum representations

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Topological quantum field theories (aspects of differential topology) (57R56)

Related Items (7)

Decomposition of some Witten-Reshetikhin-Turaev representations into irreducible factors ⋮ Torus bundles not distinguished by TQFT invariants. With an appendix by Louis Funar and Andrei Rapinchuk ⋮ Applications of quantum representations of mapping class groups ⋮ Modular group representations associated to SO(p)2-TQFTS ⋮ Congruence and quantum invariants of 3-manifolds ⋮ Some asymptotics of topological quantum field theory via skein theory ⋮ Circuit complexity of knot states in Chern-Simons theory

Cites Work

• Topological quantum field theories derived from the Kauffman bracket
• The Kazhdan Property of the Mapping Class Group of Closed Surfaces and the First Cohomology Group of Its Cofinite Subgroups
• On the Witten-Reshetikhin-Turaev representations of mapping class groups
• On the first cohomology group of cofinite subgroups in surface mapping class groups
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