Combinatorial quantisation of Euclidean gravity in three dimensions

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dc.creatorSchroers, Bernd J
dc.date2000-06-30
dc.date2000-07-03
dc.date.accessioned2026-07-07T04:36:09Z
dc.date.available2026-07-07T04:36:09Z
dc.descriptionIn 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.
dc.descriptioncosmetic change
dc.identifierhttps://arxiv.org/abs/math/0006228
dc.identifierhttp://arxiv.org/abs/math/0006228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59502
dc.subjectQuantum Algebra
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject81R50 (Primary) 83C45 (Secondary)
dc.titleCombinatorial quantisation of Euclidean gravity in three dimensions
dc.typetext

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