nLab John Barrett

• Wikipedia entry

Selected writings

On Regge calculus:

• John Barrett, The geometry of classical Regge calculus, Classical and Quantum Gravity, Volume 4, Number 6, 1987 (doi:10.1088/0264-9381/4/6/015/meta)

On parallel transport:

• John Barrett, Holonomy and path structures in general relativity and Yang-Mills theory, Int. J. of Theor. Phys., Iiol. 30, No. 9, 1991 (doi:10.1007/BF00671007)

On spherical fusion categories and the Turaev-Viro model:

• John Barrett, Bruce Westbury, Invariants of piecewise-linear 3-manifolds, Trans. Amer. Math. Soc. 348 (1996), no. 10, 3997–4022, (doi:10.1090/S0002-9947-96-01660-1, MR1357878)

• John Barrett, Bruce Westbury, Spherical Categories, Adv. Math. 143:357-375, 1999 (arXiv:hep-th/9310164, doi:10.1006/aima.1998.1800)

On the relation between the Turaev-Viro model and the Crane-Yetter model:

• John Barrett, J. Garcia-Islas, João Faria Martins, Observables in the Turaev-Viro and Crane-Yetter models, J. Math. Phys. 48:093508, 2007 (arXiv:math/0411281)

On the Connes-Lott model:

• John Barrett, A Lorentzian version of the non-commutative geometry of the standard model of particle physics, J. Math. Phys. 48:012303, 2007 (arXiv:hep-th/0608221, doi:10.1063/1.2408400)

On fermionic path integrals via finite-dimensional spectral triples:

• John W. Barrett: Fermion integrals for finite spectral triples [arXiv:2403.18428]

category: people