@inproceedings{7dc78dac2d3a4b71891a92019b35689e,

title = "Combinatorial quantization of Euclidean gravity in three dimensions",

abstract = "In the Chern-Simons formulation of Einstein gravity in 2+1 dimensions, the phase space is the moduli space of flat G-connections on a two-dimensional surface, where G is a typically non-compact Lie group which depends on the signature of space-time and the cosmological constant. For Euclidean signature and vanishing cosmological constant, G is the three-dimensional Euclidean group. For this case the Poisson structure of the moduli space is given explicitly in terms of a classical r-matrix. It is shown that the quantum R-matrix of the quantum double D(SU(2)) provides a quantization of that Poisson structure.",

keywords = "CHERN-SIMONS THEORY, QUANTUM",

author = "Schroers, {Bernd Johannes}",

year = "2001",

doi = "10.1007/978-3-0348-8364-1_12",

language = "English",

isbn = "978-3-0348-9535-4",

series = "Progress in Mathematics",

publisher = "Birkh{\"a}user",

pages = "307--327",

editor = "Landsman, {N. P.} and M. Pflaum and M. Schlichenmaier",

booktitle = "Quantization of Singular Symplectic Quotients",

address = "Switzerland",

note = "Workshop on Quantization of Singular Symplectic Quotients 1999 ; Conference date: 02-08-1999 Through 06-08-1999",

}