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@article{1699036,
author = {Čadek, Martin and Crabb, Michael and Salač, Tomáš},
article_location = {Heidelberg},
article_number = {3-4},
doi = {http://dx.doi.org/10.1007/s00229-019-01165-2},
keywords = {vector bundle; reduction of structure group; spinc structure; representations of U(2); obstruction; characteristic classes},
language = {eng},
issn = {0025-2611},
journal = {Manuscripta mathematica},
title = {Obstruction theory on 7-manifolds},
url = {https://link.springer.com/article/10.1007/s00229-019-01165-2},
volume = {163},
year = {2020}
}
TY - JOUR
ID - 1699036
AU - Čadek, Martin - Crabb, Michael - Salač, Tomáš
PY - 2020
TI - Obstruction theory on 7-manifolds
JF - Manuscripta mathematica
VL - 163
IS - 3-4
SP - 343-359
EP - 343-359
PB - Springer Heidelberg
SN - 00252611
KW - vector bundle
KW - reduction of structure group
KW - spinc structure
KW - representations of U(2)
KW - obstruction
KW - characteristic classes
UR - https://link.springer.com/article/10.1007/s00229-019-01165-2
L2 - https://link.springer.com/article/10.1007/s00229-019-01165-2
N2 - The paper gives a uniform, self-contained, and direct approach to a variety of obstruction-theoretic problems on manifolds of dimensions 7 and 6. We give necessary and sufficient cohomological criteria for the existence of various G-structures on vector bundles over such manifolds, especially using low dimensional representations of U(2).
ER -
ČADEK, Martin, Michael CRABB a Tomáš SALAČ. Obstruction theory on 7-manifolds. \textit{Manuscripta mathematica}. Heidelberg: Springer Heidelberg, 2020, roč.~163, 3-4, s.~343-359. ISSN~0025-2611. Dostupné z: https://dx.doi.org/10.1007/s00229-019-01165-2.
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