Classical and quantum geometry of moduli spaces in three-dimensional gravity

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dc.creatorNelson, J. E.
dc.creatorPicken, R. F.
dc.date2005-01-20
dc.date.accessioned2026-07-07T04:31:49Z
dc.date.available2026-07-07T04:31:49Z
dc.descriptionWe describe some results concerning the phase space of 3-dimensional Einstein gravity when space is a torus and with negative cosmological constant. The approach uses the holonomy matrices of flat SL(2,R) connections on the torus to parametrise the geometry. After quantization, these matrices acquire non-commuting entries, in such a way that they satisfy q-commutation relations and exhibit interesting geometrical properties. In particular they lead to a quantization of the Goldman bracket.
dc.description12 pages, including contents page (proceedings format), submitted to the Proceedings of the XIII Fall Workshop on Geometry and Physics, Murcia, Sept. 20-22, 2004
dc.identifierhttps://arxiv.org/abs/math-ph/0501051
dc.identifierhttp://arxiv.org/abs/math-ph/0501051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57961
dc.subjectMathematical Physics
dc.subject83C45
dc.titleClassical and quantum geometry of moduli spaces in three-dimensional gravity
dc.typetext

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