A note on the height of the third Stiefel--Whitney class of the canonical vector bundles over some Grassmann manifolds

L’udovít Balko

Commentationes Mathematicae Universitatis Carolinae (2021)

  • Volume: 62, Issue: 2, page 169-174
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Balko, 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

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  1. 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
  2. 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
  3. 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
  4. 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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