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Measurable Categories and 2-Groups

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Abstract

Using the theory of measurable categories developed in [10], we provide a notion of representations of 2-groups better suited to physically and geometrically interesting examples than that using 2-VECT (cf. [8]). Using this theory we sketch a 2-categorical approach to the state-sum model for Lorentzian quantum gravity proposed in [6], and suggest state-integral constructions for 4-manifold invariants.

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  1. Department of Mathematics, Kansas State University, Cardwell Hall, Manhattan, KS, 66506-2602, USA

    Louis Crane & David N. Yetter

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  1. Louis Crane
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  2. David N. Yetter
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Correspondence to David N. Yetter.

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Crane, L., Yetter, D.N. Measurable Categories and 2-Groups. Appl Categor Struct 13, 501–516 (2005). https://doi.org/10.1007/s10485-005-9004-5

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  • DOI: https://doi.org/10.1007/s10485-005-9004-5

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