Non-Commutative Geometry in Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator

TL;DR

This paper explores the connection between higher-dimensional quantum Hall effects and A-class topological insulators, emphasizing the role of non-commutative geometry in understanding their physical properties.

Contribution

It clarifies the relationship between higher-dimensional quantum Hall effects and A-class topological insulators, highlighting the significance of non-commutative geometry.

Findings

Elucidation of physical implications of non-commutative geometry

Connection established between quantum Hall effect and topological insulators

Insights into higher-dimensional topological phases

Abstract

We clarify relations between the higher dimensional quantum Hall effect and A-class topological insulator. In particular, we elucidate physical implications of the higher dimensional non-commutative geometry in the context of A-class topological insulator. This presentation is based on arXiv:1403.5066.