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Quaternionic structures

  1. 1.
    0352124 - MÚ 2011 RIV NL eng J - Journal Article
    Čadek, M. - Crabb, M. - Vanžura, Jiří
    Quaternionic structures.
    Topology and its Applications. Roč. 157, č. 18 (2010), s. 2850-2863. ISSN 0166-8641. E-ISSN 1879-3207
    R&D Projects: GA ČR GA201/05/2117
    Institutional research plan: CEZ:AV0Z10190503
    Keywords : bundles of quaternionic algebras * almost quaternionic manifolds * vector bundles * characteristic classes * k-theory * morita equivalence
    Subject RIV: BA - General Mathematics
    Impact factor: 0.447, year: 2010
    http://www.sciencedirect.com/science/article/pii/S0166864110003068

    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 Spin(c) manifolds in Cadek et al. (2008) [5] and may be of some interest, also, in quaternionic and algebraic geometry.
    Permanent Link: http://hdl.handle.net/11104/0191708

     
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