Quaternionic structures
Algebraic Topology
2018-11-13 v2 Differential Geometry
Abstract
Any oriented 4-dimensional real vector bundle is naturally a line bundle over a bundle of quaternion algebras. In this paper we give an account of modules over bundles of quaternion algebras, discussing Morita equivalence, characteristic classes and K-theory. The results have been used to describe obstructions for the existence of almost quaternionic structures on 8-dimensional Spinc manifolds and may be of some interest, also, in quaternionic and algebraic geometry.
Cite
@article{arxiv.0909.2409,
title = {Quaternionic structures},
author = {Martin Cadek and Michael Crabb and Jiri Vanzura},
journal= {arXiv preprint arXiv:0909.2409},
year = {2018}
}
Comments
19 pages