Indices of quaternionic complexes

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Authors	SPÁČIL Oldřich
Year of publication	2010
Type	Article in Periodical
Magazine / Source	Differential Geometry and its Applications
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.sciencedirect.com/science/journal/09262245
Field	General mathematics
Keywords	Quaternionic manifold; elliptic complex; analytical index; quaternionic structures; integrality conditions
Description	The purpose of this paper is to describe an algorithm to compute the analytical indices of a class of elliptic complexes on quaternionic manifolds, including Salamon,s complex, in terms of characteristic classes. Using this, we are able to derive some topological obstructions to the existence of quaternionic structures on manifolds.
Related projects:	Mathematical structures and their physical applications