The cohomological nature of the Fu-Kane-Mele invariant

DOI10.1016/j.geomphys.2017.10.007zbMath1390.57017arXiv1603.09421OpenAlexW2962830818MaRDI QIDQ1742270

Giuseppe De Nittis, Kiyonori Gomi

Publication date: 11 April 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.09421

zbMATH Keywords

geometric phasestopological insulatorssymplectic bundlequantum spin Hall effectsymplectic vector bundleFKMM (Furuta-Kametani-Matsue-Minami) invarianttopological quantum systemsFKM (Fu-Kane-Mele) indexquaternionic vector bundleTQS

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Topological field theories in quantum mechanics (81T45) Applications of global differential geometry to the sciences (53C80) Topological quantum field theories (aspects of differential topology) (57R56) Topology of vector bundles and fiber bundles (57R22) Fiber bundles in algebraic topology (55R10) Homology with local coefficients, equivariant cohomology (55N25)

Related Items

A new light on the FKMM invariant and its consequences, The FKMM-invariant in low dimension, The geometry of (non-abelian) Landau levels, Fu-Kane-Mele monopoles in semimetals, The cohomology invariant for class DIII topological insulators, Differential geometric invariants for time-reversal symmetric Bloch bundles. II: The low-dimensional ``quaternionic case, Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices, Topological insulators and the Kane–Mele invariant: Obstruction and localization theory, `Real' Gerbes and Dirac cones of topological insulators

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