The FKMM-invariant in low dimension
Abstract
In this paper, we investigate the problem of the cohomological classification of "Quaternionic" vector bundles in low dimension (d≤slant 3). We show that there exists a characteristic class κ , 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 κ.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- May 2018
- DOI:
- arXiv:
- arXiv:1702.04801
- Bibcode:
- 2018LMaPh.108.1225D
- Keywords:
-
- Mathematical Physics;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Mathematics - Algebraic Topology;
- 57R22 (Primary);
- 53A55;
- 55N25;
- 53C80 (Secondary)
- E-Print:
- 38 pages. Keywords: "Quaternionic" vector bundles, FKMM-invariant, Characteristic classes, Topological quantum systems. arXiv admin note: text overlap with arXiv:1603.09421