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.
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