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math.QA2024
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…
math.QA2024
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…