24 citations · 33 across the 4 of their papers we have counts for
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2-categorical Poincare Representations and State Sum Applications
L. Crane, M. D. Sheppeard
This is intended as a self-contained introduction to the representation theory developed in order to create a Poincare 2-category state sum model for Quantum Gravity in 4 dimension…
The geometrization of matter proposal in the Barrett-Crane model and resolution of cosmological problems
S. Alexander, L. Crane, M. D. Sheppeard
We give an overview of the current issues in early universe cosmology and consider the potential resolution of these issues in an as yet nascent spin foam cosmology. The model is t…
Measurable Categories and 2-Groups
L. Crane, D. N. Yetter
Using 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 geometr…
A More Sensitive Lorentzian State Sum
Louis Crane, David Yetter
We give the construction modulo normalization of a new state sum model for lorentzian quantum general relativity, using the construction of Dirac's expansors to include quantum ope…