3 papers
math-ph2025
Comment on 'Gauge networks in noncommutative geometry'
Carlos I. Perez-Sanchez
The article (Gauge networks in noncommutative geometry, J. Geom. Phys. 75 : 71--91, 2014) that motivates this comment provides, in particular, one answer to the following natural q…
math-ph2025
The loop equations for noncommutative geometries on quivers
Carlos Perez-Sanchez
We define a path integral over Dirac operators that averages over noncommutative geometries on a fixed graph, as the title reveals, using quiver representations. We prove algebraic…
math.RT2025
Bratteli networks and the Spectral Action on quivers
Carlos I. Perez-Sanchez
In the context of noncommutative geometry, we consider quiver representations -- not on vector spaces, as traditional, but on finite-dimensional prespectral triples (`discrete topo…