Mapping-class groups of 3-manifolds in canonical quantum gravity

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dc.creatorGiulini, Domenico
dc.date2006-06-29
dc.date.accessioned2026-07-07T07:16:56Z
dc.date.available2026-07-07T07:16:56Z
dc.descriptionMapping-class groups of 3-manifolds feature as symmetry groups in canonical quantum gravity. They are an obvious source through which topological information could be transmitted into the quantum theory. If treated as gauge symmetries, their inequivalent unitary irreducible representations should give rise to a complex superselection structure. This highlights certain aspects of spatial diffeomorphism invariance that to some degree seem physically meaningful and which persist in all approaches based on smooth 3-manifolds, like geometrodynamics and loop quantum gravity. We also attempt to give a flavor of the mathematical ideas involved.
dc.description41 pages, 8 figures (colored)
dc.identifierhttps://arxiv.org/abs/math-ph/0606066
dc.identifierhttp://arxiv.org/abs/math-ph/0606066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113770
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subject83C45; 57N10
dc.titleMapping-class groups of 3-manifolds in canonical quantum gravity
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