Applied Categorical Structures

, Volume 13, Issue 5, pp 501–516

Measurable Categories and 2-Groups

Article

DOI: 10.1007/s10485-005-9004-5

Cite this article as:
Crane, L. & Yetter, D.N. Appl Categor Struct (2005) 13: 501. doi:10.1007/s10485-005-9004-5

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.

Mathematics Subject Classifications (2000)

Primary 22D99 Secondary 18D05, 18D10 

Keywords

representation categorial group 2‐group measurable category 

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of MathematicsKansas State UniversityManhattanUSA

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