Quaternionic structures

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SYSNO ASEP	0352124
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Quaternionic structures
Author(s)	Čadek, M. (CZ) Crabb, M. (GB) Vanžura, Jiří (MU-W)_{RID, SAI}
Source Title	Topology and its Applications. - : Elsevier - ISSN 0166-8641 Roč. 157, č. 18 (2010), s. 2850-2863
Number of pages	14 s.
Language	eng - English
Country	NL - Netherlands
Keywords	bundles of quaternionic algebras ; almost quaternionic manifolds ; vector bundles ; characteristic classes ; k-theory ; morita equivalence
Subject RIV	BA - General Mathematics
R&D Projects	GA201/05/2117 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000284082200010
EID SCOPUS	77957889723
DOI	10.1016/j.topol.2010.09.005
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1