Previous |  Up |  Next

Article

Keywords:
Grassmann manifold; height of Stiefel--Whitney characteristic class
Summary:
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.
References:
[1] Balko L'., Lörinc J.: On the cup-length of certain classes of flag manifolds. Acta Math. Hungar. 159 (2019), no. 2, 638–652. DOI 10.1007/s10474-019-00935-4 | MR 4022154
[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. MR 2027056
[3] Milnor J. W., Stasheff J. D.: Characteristic Classes. Annals of Mathematics Studies, 76, Princeton University Press, Princeton, University of Tokyo Press, Tokyo, 1974. MR 0440554 | Zbl 1079.57504
[4] Stong R. E.: Cup products in Grassmannians. Topology Appl. 13 (1982), no. 1, 103–113. DOI 10.1016/0166-8641(82)90012-8 | MR 0637432
Partner of
EuDML logo