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Bundle gerbes for topological insulators

Volume 114 / 2018

Krzysztof Gawędzki Banach Center Publications 114 (2018), 145-180 MSC: 53C08, 14D21. DOI: 10.4064/bc114-4

Abstract

Bundle gerbes are simple examples of higher geometric structures that show their utility in dealing with topological subtleties of physical theories. I will review a recent construction of torsion topological invariants for condensed-matter systems via equivariant bundle gerbes. The construction covers static and periodically driven systems with time reversal invariance in 2 and 3 space dimensions. It involves refinements of geometry of gerbes that will be discussed in the first lecture, the second one being devoted to the applications to topological insulators.

Authors

  • Krzysztof GawędzkiLaboratoire de Physique
    ENS Lyon, Université de Lyon
    46 Allée d’Italie
    69364 Lyon, France
    C.N.R.S., chercheur émérite

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