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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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