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Bundle gerbes for topological insulators

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Publication:4581201
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DOI10.4064/bc114-4zbMath1397.53044arXiv1512.01028OpenAlexW2964079008MaRDI QIDQ4581201

Krzysztof Gawędzki

Publication date: 23 August 2018

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01028


zbMATH Keywords

bulk-edge correspondenceKane-Mele invariantcrystalline systemssquare root of gerbe holonomyWess-Zumino amplitudes


Mathematics Subject Classification ID

Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Differential geometric aspects of gerbes and differential characters (53C08)


Related Items

T-duality simplifies bulk-boundary correspondence: the noncommutative case ⋮ Gauge-theoretic invariants for topological insulators: a bridge between Berry, Wess-Zumino, and Fu-Kane-Mele ⋮ Differential geometric invariants for time-reversal symmetric Bloch bundles. II: The low-dimensional ``quaternionic case ⋮ A classification of equivariant gerbe connections ⋮ Topological insulators and the Kane–Mele invariant: Obstruction and localization theory ⋮ \(2d\) Fu-Kane-Mele invariant as Wess-Zumino action of the sewing matrix ⋮ Eigenvalue crossings in Floquet topological systems



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