Outputs (2)

Fermion integrals for finite spectral triples (2024)
Journal Article
Barrett, J. W. (2024). Fermion integrals for finite spectral triples. Journal of Physics A: Mathematical and Theoretical, 57(45), Article 455201. https://doi.org/10.1088/1751-8121/ad82ba

Fermion functional integrals are calculated for the Dirac operator of a finite real spectral triple. Complex, real and chiral functional integrals are considered for each KO-dimension where they are non-trivial, and phase ambiguities in the definitio... Read More about Fermion integrals for finite spectral triples.

Gray categories with duals and their diagrams (2024)
Journal Article
Barrett, J. W., Meusburger, C., & Schaumann, G. (2024). Gray categories with duals and their diagrams. Advances in Mathematics, 450, Article 109740. https://doi.org/10.1016/j.aim.2024.109740

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 cube, with regions, surfaces, lines and vertices labelled by Gray categ... Read More about Gray categories with duals and their diagrams.