Mapping class group actions in Chern-Simons theory with gauge group \(G \ltimes g^*\)

DOI10.1016/j.nuclphysb.2004.10.057zbMath1137.53349arXivhep-th/0312049OpenAlexW1853017673MaRDI QIDQ874584

Bernd J. Schroers, Catherine Meusburger

Publication date: 10 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0312049

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Moduli problems for topological structures (58D29) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Analogues of general relativity in lower dimensions (83C80) Group actions on manifolds and cell complexes in low dimensions (57M60) Geometric quantization (53D50)

Related Items (5)

Grafting and Poisson structure in \((2+1)\)-gravity with vanishing cosmological constant ⋮ Combinatorial quantisation of the Euclidean torus universe ⋮ Gauge fixing and classical dynamical \(r\)-matrices in \(\mathrm{ISO}(2, 1)\)-Chern-Simons theory ⋮ Geometrical \((2+1)\)-gravity and the Chern-Simons formulation: grafting, Dehn twists, Wilson loop observables and the cosmological constant ⋮ MAPPING CLASS GROUP AND U(1) CHERN–SIMONS THEORY ON CLOSED ORIENTABLE SURFACES

Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• The quantisation of Poisson structures arising in Chern-Simons theory with gauge group \(G\ltimes{\mathfrak g}^*\)
• A simple presentation for the mapping class group of an orientable surface
• The symplectic nature of fundamental groups of surfaces
• Invariant functions on Lie groups and Hamiltonian flows of surface group representations
• Tensor product representations of the quantum double of a compact group
• A geometrical presentation of the surface mapping class group and surgery
• Topological field theory and the quantum double of \(\text{SU}(2)\)
• Quantum group symmetry and particle scattering in \((2+1)\)-dimensional quantum gravity
• Symplectic structure of the moduli space of flat connection on a Riemann surface
• Combinatorial quantization of the Hamiltonian Chern-Simons theory. I
• Combinatorial quantization of the Hamiltonian Chern-Simons theory. II
• Representation theory of Chern-Simons observables
• Braids, Links, and Mapping Class Groups. (AM-82)
• Poisson structure and symmetry in the Chern–Simons formulation of (2   1)-dimensional gravity
• The Yang-Mills equations over Riemann surfaces
• Hamiltonian quantization of Chern Simons theory with SL (2,  ) group
• Spin networks for noncompact groups
• Mapping class groups and their relationship to braid groups
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