Constant connections, quantum holonomies and the Goldman bracket

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dc.creatorNelson, J. E.
dc.creatorPicken, R. F.
dc.date2004-12-02
dc.date2005-10-03
dc.date.accessioned2026-07-07T06:27:12Z
dc.date.available2026-07-07T06:27:12Z
dc.descriptionIn the context of (2+1)--dimensional quantum gravity with negative cosmological constant and topology R x T^2, constant matrix--valued connections generate a q--deformed representation of the fundamental group, and signed area phases relate the quantum matrices assigned to homotopic loops. Some features of the resulting quantum geometry are explored, and as a consequence a quantum version of the Goldman bracket is obtained
dc.description25 pages, 43 figures, using ATMP style file, to appear Adv.Theor.Math.Phys. Vol 9 (2005)
dc.identifierhttps://arxiv.org/abs/math-ph/0412007
dc.identifierhttp://arxiv.org/abs/math-ph/0412007
dc.identifierAdv.Theor.Math.Phys. 9 (2005) 407-433
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97346
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleConstant connections, quantum holonomies and the Goldman bracket
dc.typetext

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