Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics

preprint2016arXivOpen access

Abstract

This monograph offers an overview on the topological invariants in fermionic topological insulators from the complex classes. Tools from K-theory and non-commutative geometry are used to define bulk and boundary invariants, to establish the bulk-boundary correspondence and to link the invariants to physical observables.

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