57 citations · 88 across the 12 of their papers we have counts for
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math.QA2004★ 57 cited
Observables in the Turaev-Viro and Crane-Yetter models
John W. Barrett, J. Manuel Garcia-Islas, Joao Faria Martins
We define an invariant of graphs embedded in a three-manifold and a partition function for 2-complexes embedded in a triangulated four-manifold by specifying the values of variable…
gr-qc2004★ 13 cited
Observables in 3-dimensional quantum gravity and topological invariants
J. Manuel Garcia-Islas
In this paper we report some results on the expectation values of a set of observables introduced for 3-dimensional Riemannian quantum gravity with positive cosmological constant,…
gr-qc2004
Spin Foam Models of n-dimensional Quantum Gravity and Non-Archimedean and Non-Commutative Formulations
J. Manuel Garcia-Islas
This paper is twofold. First of all a complete unified picture of -dimensional quantum gravity is proposed in the following sense: In spin foam models of quantum gravity the eva…