Measurable Categories and 2-Groups

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dc.creatorCrane, L.
dc.creatorYetter, D. N.
dc.date2003-05-12
dc.date.accessioned2026-07-07T04:57:56Z
dc.date.available2026-07-07T04:57:56Z
dc.descriptionUsing the theory of measurable categories developped by Yetter in work in preparation, we provide a notion of representations of 2-groups more well-suited to physically and geometrically interesting examples than that proposed in unpublished work of Barrett and Mackaay using 2-VECT of Kapranov and Voevodsky. Using this theory we sketch a 2-categorical approach to the state-sum model for Lorentzian quantum gravity proposed in by the authors in previous work and suggest state-integral constructions for 4-manifold invariants.
dc.description10 pages, 3 figures in LaTeX picture code
dc.identifierhttps://arxiv.org/abs/math/0305176
dc.identifierhttp://arxiv.org/abs/math/0305176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67443
dc.subjectQuantum Algebra
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectRepresentation Theory
dc.subject18D10 (primary); 20C99 (secondary)
dc.titleMeasurable Categories and 2-Groups
dc.typetext

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