Abstract
In [1, 2] we established and dicussed 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 genusg 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 forg=1 andg=2.
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Nelson, J.E., Regge, T.: Commun. Math. Phys.141, 211 (1991)
Nelson, J.E., Regge, T.: Phys. Lett. B272, 213 (1991)
Birman, J.S.: Braids, links, and the mapping class group. Ann. Math. Stud. Princeton, NJ: Princeton University Press 1975
Nelson, J.E., Regge, T.: In preparation
Nelson, J.E., Regge, T., Zertuche, F.: Nucl. Phys B339, 516 (1990); Zertuche, F.: Ph.D. Thesis, SISSA (1990), unpublished
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Communicated by N. Yu. Reshetikhin
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Nelson, J.E., Regge, T. Invariants of 2+1 gravity. Commun.Math. Phys. 155, 561–568 (1993). https://doi.org/10.1007/BF02096728
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DOI: https://doi.org/10.1007/BF02096728