Persistence of Topological Invariants Under Disorder

Abstract

A review of the techniques on Non-commutative Geometry to express rigorously the topological invariants, like in the Quantum Hall Effect or Topological Insulators will be provided. It will include some numerical work by Emil Prodan based on these techniques. It will be shown that these invariants are associated with K-theory and are robust under adding disorder to the system under study.