On central extensions of mapping class groups

DOI10.1007/BF01444490zbMath0823.57010MaRDI QIDQ1893227

J. D. Roberts, Gregor Masbaum

Publication date: 30 October 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165326

zbMATH Keywords

mapping class groupstopological quantum field theoryactions of the handlebody subgroups on skein modulescohomology classes of the extensions

Mathematics Subject Classification ID

Related Items (16)

Decomposition of some Witten-Reshetikhin-Turaev representations into irreducible factors ⋮ Profinite completions of Burnside-type quotients of surface groups ⋮ Quantum invariants of random 3-manifolds ⋮ IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS ⋮ All finite groups are involved in the mapping class group ⋮ Centrally extended mapping class groups from quantum Teichmüller theory ⋮ SO(3) quantum invariants are dense ⋮ Congruence and quantum invariants of 3-manifolds ⋮ Consistent systems of correlators in non-semisimple conformal field theory ⋮ LIMITS OF THE QUANTUM SO(3) REPRESENTATIONS FOR THE ONE-HOLED TORUS ⋮ Gapped boundary theories in three dimensions ⋮ Some asymptotics of topological quantum field theory via skein theory ⋮ Two questions on mapping class groups ⋮ FINITE PRESENTATIONS OF CENTRALLY EXTENDED MAPPING CLASS GROUPS ⋮ Maslov index, lagrangians, mapping class groups and TQFT ⋮ Two functions on \(\mathrm{Sp}(g,\mathbb{R})\)

Cites Work

• Topological quantum field theories
• On framings of 3-manifolds
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• Three-manifolds and the Temperley-Lieb algebra
• Euler and Maslov cocycles
• Topological invariants for 3-manifolds using representations of mapping class groups. I
• Calculations with the Temperley-Lieb algebra
• Three-manifold invariants derived from the Kauffman bracket
• Skeins and handlebodies
• Braids and invariants of 3-manifolds
• Dedekind sums, \(\mu\)-invariants and the signature cocycle
• Topological quantum field theories derived from the Kauffman bracket
• Invariants of 3-manifolds via link polynomials and quantum groups
• QUANTUM INVARIANTS OF 3-MANIFOLDS ASSOCIATED WITH CLASSICAL SIMPLE LIE ALGEBRAS
• A Simple Proof of the Fundamental Theorem of Kirby Calculus on Links
• RACKS AND LINKS IN CODIMENSION TWO
• On Homeomorphisms of a 3-Dimensional Handlebody
• Skeins and mapping class groups
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