On central extensions of mapping class groups
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Publication:1893227
DOI10.1007/BF01444490zbMath0823.57010MaRDI QIDQ1893227
Publication date: 30 October 1995
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165326
mapping class groupstopological quantum field theoryactions of the handlebody subgroups on skein modulescohomology classes of the extensions
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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
- A simple presentation for the mapping class group of an orientable surface
- The second homology group of the mapping class group of an orientable surface
- State models and the Jones polynomial
- The logarithm of the Dedekind \(\eta\)-function
- Quantum field theory and the Jones polynomial
- A presentation for the mapping class group of a closed orientable surface
- Computer calculation of Witten's 3-manifold invariant
- 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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