Graph Rewriting for Lattice Topological Invariants

We are going to study finite lattice systems in the context of simple rewriting rules: based on discrete manifolds and Cayley graphs, in this project we look for the set and taxonomy of simple rewriting rules that preserve certain properties that can later be understood as conserved measurable magnitudes of a physical system, like the Brouwer degree or winding number. By investigating those toy models about field configurations of discrete fiber bundles, we will later apply local perturbations to a …

context graph graphs lattice look project rules set simple study systems taxonomy