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@article{886770, author = {Spáčil, Oldřich}, article_number = {4}, keywords = {Quaternionic manifold; elliptic complex; analytical index; quaternionic structures; integrality conditions}, language = {eng}, issn = {0926-2245}, journal = {Differential Geometry and its Applications}, title = {Indices of quaternionic complexes}, url = {http://www.sciencedirect.com/science/journal/09262245}, volume = {28}, year = {2010} }
TY - JOUR ID - 886770 AU - Spáčil, Oldřich PY - 2010 TI - Indices of quaternionic complexes JF - Differential Geometry and its Applications VL - 28 IS - 4 SP - 395-405 EP - 395-405 PB - NORTH-HOLLAND SN - 09262245 KW - Quaternionic manifold KW - elliptic complex KW - analytical index KW - quaternionic structures KW - integrality conditions UR - http://www.sciencedirect.com/science/journal/09262245 N2 - 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. ER -
SPÁČIL, Oldřich. Indices of quaternionic complexes. \textit{Differential Geometry and its Applications}. NORTH-HOLLAND, 2010, roč.~28, č.~4, s.~395-405. ISSN~0926-2245.
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