Differential geometric invariants for time-reversal symmetric Bloch-bundles: the "Real" case

@article{Nittis2015DifferentialGI,
  title={Differential geometric invariants for time-reversal symmetric Bloch-bundles: the "Real" case},
  author={G. D. Nittis and K. Gomi},
  journal={arXiv: Mathematical Physics},
  year={2015}
}
Topological quantum systems subjected to an even (resp. odd) time-reversal symmetry can be classified by looking at the related "Real" (resp. "Quaternionic") Bloch-bundles. If from one side the topological classification of these time-reversal vector bundle theories has been completely described in [DG1] for the "Real" case and in [DG2] for the "Quaternionic" case, from the other side it seems that a classification in terms of differential geometric invariants is still missing in the literature… Expand
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