Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional "Quaternionic" case
Mathematical Physics
2023-10-04 v1 Other Condensed Matter
math.MP
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
Cite
@article{arxiv.1809.05155,
title = {Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional "Quaternionic" case},
author = {Giuseppe De Nittis and Kiyonori Gomi},
journal= {arXiv preprint arXiv:1809.05155},
year = {2023}
}
Comments
Keywords: Topological quantum systems, "Quaternionic" vector bundles, Wess-Zumino term, Chern-Simons invariant. 34 pages