What is it about?

This paper is a broad review of the subject "topology in condensed matter physics," including the role played by anomalies and their cancellation, anyons (quasi-particles with braid statistics), dimensional reduction, etc. It describes many applications of the general theory to concrete systems, such as 2D electron gases exhibiting the quantum Hall effect, time-reversal invariant topological insulators in two and three diemnsions, etc.

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Why is it important?

The importance of the subjects treated in this paper is self-evident. The paper is quite comprehensive and carefully written. It is expected to be of interest to a broad readership of physicists.

Perspectives

This paper summarizes my work on "topology in condensed matter physics" carried out between the late eighties and the end of the 20th century.

Juerg Froehlich
ETH Zurich

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This page is a summary of: Fractional statistics, gauge invariance and anomalies in condensed matter physics, January 2024, Elsevier,
DOI: 10.1016/b978-0-323-90800-9.00257-2.
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