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Invariants of 2+1 gravity

1992/09/10 by J. E. Nelson, T. Regge · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1007/bf02096728

published as Commun.Math.Phys. 155 (1993) 561-568 · 10 pages, plain TEX, no figures, DFTT 46/92

arxiv created 1992/09/10 · openalex publication_date 1993/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In [1,2] we established and discussed the algebra of observables for 2+1 gravity at both the classical and quantum level. Here our treatment broadens and extends previous results to any genus g with a systematic discussion of the centre of the algebra. The reduction of the number of independent observables to 6g-6 (g > 1) is treated in detail with a precise classification for g = 1 and g = 2.

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