404 citations · 3.5k across the 79 of their papers we have counts for
5 papers · 1 filter
Finite spectral triples for the fuzzy torus
John W. Barrett, James Gaunt
Finite real spectral triples are defined to characterise the non-commutative geometry of a fuzzy torus. The geometries are the non-commutative analogues of flat tori with moduli de…
Two-dimensional state sum models and spin structures
John W. Barrett, Sara O. G. Tavares
The state sum models in two dimensions introduced by Fukuma, Hosono and Kawai are generalised by allowing algebraic data from a non-symmetric Frobenius algebra. Without any further…
Gray categories with duals and their diagrams
John W. Barrett, Catherine Meusburger, Gregor Schaumann
The geometric and algebraic properties of Gray categories with duals are investigated by means of a diagrammatic calculus. The diagrams are three-dimensional stratifications of a c…
Unlinked Embedded Graphs
John W. Barrett
This paper is a self-contained development of an invariant of graphs embedded in three-dimensional Euclidean space using the Jones polynomial and skein theory. Some examples of the…
The classical evaluation of relativistic spin networks
John W. Barrett
The evaluation of a relativistic spin network for the classical case of the Lie group SU(2) is given by an integral formula over copies of SU(2). For the graph determined by a 4-si…