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Publication details
Indices of quaternionic complexes
Authors | |
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Year of publication | 2010 |
Type | Article in Periodical |
Magazine / Source | Differential Geometry and its Applications |
MU Faculty or unit | |
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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