Počet záznamů: 1

Quaternionic structures

  1. 1.
    0352124 - MU-W 2011 RIV NL eng J - Článek v odborném periodiku
    Čadek, M. - Crabb, M. - Vanžura, Jiří
    Quaternionic structures.
    Topology and its Applications. Roč. 157, č. 18 (2010), s. 2850-2863 ISSN 0166-8641
    Grant CEP: GA ČR GA201/05/2117
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: bundles of quaternionic algebras * almost quaternionic manifolds * vector bundles * characteristic classes * k-theory * morita equivalence
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.447, rok: 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.
    Trvalý link: http://hdl.handle.net/11104/0191708
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