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We study the conditions for classical r-matrices to be compatible with the generalised Chern-Simons action for 3d gravity.
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B. J. Schroers, Combinatorial quantisation of Euclidean gravity in three dimensions, in: N. P. Landsman, M. Pflaum, M. Schlichenmaier (Eds.), Quantization of singular symplectic quotients, Progress in Mathematics, Vol. 198, 2001, 307–328; math.qa/0006228
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E. Buffenoir, K. Noui and P. Roche, Hamiltonian Quantization of Chern-Simons theory with S L ( 2 , ℂ ) SL(2,\mathbb{C}) Group, Class. Quant. Grav. 19 (2002) 4953-5016
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) 705–754
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V. Bonzom and E. R. Livine, A Immirzi-like parameter for 3d quantum gravity, Class. Quant. Grav. 25 (2008) 195024
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C. Meusburger and B. J. Schroers, Quaternionic and Poisson-Lie structures in 3d gravity: the cosmological constant as deformation parameter, J. Math. Phys. 49 (2008) 083510
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C. Meusburger and B. J. Schroers, Generalised Chern-Simons actions for 3d gravity and kappa-Poincare symmetry, Nucl. Phys. B 806 (2009) 462–488
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C. Meusburger and K. Noui, The Hilbert space of 3d gravity: quantum group symmetries and observables, Adv. Theor. Math. Phys. 14, 6 (2010) 1651–1716
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2002
Cited alongside, same era.
F. A. Bais, N. M. Muller, B. J. Schroers, Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity, Nucl. Phys. B640 (2002) 3–45
2002
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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
2003
Cited alongside, same era.
C. Meusburger and B. J. Schroers, The quantisation of Poisson structures arising in Chern-Simons theory with gauge group G ⋉ 𝔤 ∗ G\ltimes\mathfrak{g}^{*} , Adv. Theor. Math. Phys. 7 (2004) 1003–043
2004
Cited alongside, same era.
2007
Cited alongside, same era.
2007
Cited alongside, same era.
2010
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B. J. Schroers, Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach, Acta Phys. Pol. B Proceedings Supplement vol. 4 (2011) 379
2011
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P. K. Osei and B. J. Schroers, On Semiduals of local isometry groups in 3d gravity, J. Math. Phys. 53 (2012) 073510
2012
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A. Ballesteros, F. J. Herranz, C. Meusburger Drinfel’d doubles for (2+1)-gravity, Class. Quant. Grav. 30 (2013) 155012
2013
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P. K. Osei and B. J. Schroers, Classical r-matrices via semidualisation, J. Math. Phys. 54 (2013) 101702
2013
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J. B. Achour, M. Geiller, K. Noui, and C. Yu, Testing the role of the Barbero-Immirzi parameter and the choice of connection in Loop Quantum Gravity, Phys. Rev. D91 (2015) 104016
2015
Later among the works it cites.