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arXiv · 0909.2409

Quaternionic structures

Martin Cadek·Michael Crabb·Jiri Vanzura
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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.

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Martin Cadek, Michael Crabb, Jiri Vanzura. 2009-09-13. Quaternionic structures. https://doi.org/10.1016/j.topol.2010.09.005

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