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arXiv · 1512.01028

Bundle gerbes for topological insulators

Krzysztof Gawedzki
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Abstract

Bundle gerbes are simple examples of higher geometric structures that show their utility in dealing with topological subtleties of physical theories. I 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 are discussed in the first lecture, the second one being devoted to the applications to topological insulators.

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Krzysztof Gawedzki. 2015-12-03. Bundle gerbes for topological insulators. https://arxiv.org/abs/1512.01028

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