Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional "Quaternionic" case
arXiv:1809.05155 · doi:10.2140/agt.2023.23.2925
Abstract
This paper is devoted to the construction of differential geometric invariants for the classification of "Quaternionic" vector bundles. Provided that the base space is a smooth manifold of dimension two or three endowed with an involution that leaves fixed only a finite number of points, it is possible to prove that the Wess-Zumino term and the Chern-Simons invariant yield topological quantities able to distinguish between inequivalent realization of "Quaternionic" structures.
Keywords: Topological quantum systems, "Quaternionic" vector bundles, Wess-Zumino term, Chern-Simons invariant. 34 pages
References in corpus (7)
- Topological Field Theory of Time-Reversal Invariant Insulators
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- Topological index for periodically driven time-reversal invariant 2D systems
- Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals
- Gauge-theoretic invariants for topological insulators: A bridge between Berry, Wess-Zumino, and Fu-Kane-Mele
- The FKMM-invariant in low dimension
- 2d Fu-Kane-Mele invariant as Wess-Zumino action of the sewing matrix