A note on the height of the third Stiefel--Whitney class of the canonical vector bundles over some Grassmann manifolds
Commentationes Mathematicae Universitatis Carolinae (2021)
- Volume: 62, Issue: 2, page 169-174
- ISSN: 0010-2628
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topBalko, L’udovít. "A note on the height of the third Stiefel--Whitney class of the canonical vector bundles over some Grassmann manifolds." Commentationes Mathematicae Universitatis Carolinae 62.2 (2021): 169-174. <http://eudml.org/doc/297843>.
@article{Balko2021,
abstract = {We compute the height of the third Stiefel--Whitney characteristic class of the canonical bundles over some infinite classes of Grassmann manifolds of five dimensional vector subspaces of real vector spaces.},
author = {Balko, L’udovít},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Grassmann manifold; height of Stiefel--Whitney characteristic class},
language = {eng},
number = {2},
pages = {169-174},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on the height of the third Stiefel--Whitney class of the canonical vector bundles over some Grassmann manifolds},
url = {http://eudml.org/doc/297843},
volume = {62},
year = {2021},
}
TY - JOUR
AU - Balko, L’udovít
TI - A note on the height of the third Stiefel--Whitney class of the canonical vector bundles over some Grassmann manifolds
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2021
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 62
IS - 2
SP - 169
EP - 174
AB - We compute the height of the third Stiefel--Whitney characteristic class of the canonical bundles over some infinite classes of Grassmann manifolds of five dimensional vector subspaces of real vector spaces.
LA - eng
KW - Grassmann manifold; height of Stiefel--Whitney characteristic class
UR - http://eudml.org/doc/297843
ER -
References
top- Balko L'., Lörinc J., 10.1007/s10474-019-00935-4, Acta Math. Hungar. 159 (2019), no. 2, 638–652. MR4022154DOI10.1007/s10474-019-00935-4
- Dutta S., Khare S. S., On second Stiefel–Whitney class of Grassmann manifolds and cuplength, J. Indian Math. Soc. (N.S.) 69 (2002), no. 1–4, 237–251. MR2027056
- Milnor J. W., Stasheff J. D., Characteristic Classes, Annals of Mathematics Studies, 76, Princeton University Press, Princeton, University of Tokyo Press, Tokyo, 1974. Zbl1079.57504MR0440554
- Stong R. E., 10.1016/0166-8641(82)90012-8, Topology Appl. 13 (1982), no. 1, 103–113. MR0637432DOI10.1016/0166-8641(82)90012-8
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