%0 Journal Article
%T Combinatorial quantisation of Euclidean gravity in three dimensions
%A Bernd J Schroers
%J Physics
%D 2000
%I arXiv
%X In the Chern-Simons formulation of Einstein gravity in 2+1 dimensions the phase space of gravity is the moduli space of flat G-connections, 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 quantisation of that Poisson structure.
%U http://arxiv.org/abs/math/0006228v2