Graph Rewriting for Lattice Topological Invariants

Sinuhé Perea

Learn about finite lattice systems in the context of simple rewriting rules. Based on discrete manifolds and Cayley graphs, we look for the set and taxonomy of simple rewriting rules that preserve properties that can be understood as conserved measurable magnitudes of a physical system. We study those toy models about field configurations of discrete fiber bundles and we apply local perturbations to a field configuration, searching for discrete analogs to Noether's theorem.