Giuseppe De Nittis, Kiyonori Gomi
Published 2017-02-15Version 1
In this paper we investigate the problem of the cohomological classification of "Quaternionic" vector bundles in low-dimension ($d\leqslant 3$). We show that there exists a characteristic classes $\kappa$, called the FKMM-invariant, which takes value in the relative equivariant Borel cohomology and completely classifies "Quaternionic" vector bundles in low-dimension. The main subject of the paper concerns a discussion about the surjectivity of $\kappa$.
Comments: 38 pages. Keywords: "Quaternionic" vector bundles, FKMM-invariant, Characteristic classes, Topological quantum systems. arXiv admin note: text overlap with arXiv:1603.09421
Classification of "Quaternionic" Bloch-bundles: Topological Quantum Systems of type AII
Topological nature of Fu-Kane-Mele invariants
A new light on the FKMM invariant and its consequences
![QR code for arXiv:1702.04801 [math-ph]](http://oss.arxitics.com/images/favicon.svg)