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We consider Chern-Simons theories for the Poincare, de Sitter and anti-de Sitter groups in three dimensions which generalise the Chern-Simons formulation of 3d gravity.
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C. Meusburger and B. J. Schroers, Poisson structure and symmetry in the Chern-Simons formulation of (2+1)-dimensional gravity, Class. Quant. Grav. 20 (2003) 2193–2233
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A. Ballesteros, N. R. Bruno and F. J. Herranz, Non-commutative relativistic spacetimes and wordlines from 2+1 quantum (anti) de Sitter groups, hep-th/0401244
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V. Bonzom and E. R. Livine, A Immirzi-like parameter for 3d quantum gravity, arXiv:0801.424 [gr-qc]
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C. Meusburger, Geometrical (2+1)-gravity and the Chern-Simons formulation: Grafting, Dehn twists, Wilson loop observables and the cosmological constant, Commun. Math. Phys. 273 (2007) 705
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