On the cohomology ring and upper characteristic rank of Grassmannian of oriented 3-planes
Author:
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Algebra and Number Theory
Link
http://link.springer.com/content/pdf/10.1007/s40062-019-00244-1.pdf
Reference12 articles.
1. Borel, A.: Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts. Ann. Math. 57, 115–207 (1953)
2. Fukaya, T.: Gröbner bases of oriented Grassmann manifolds. Homol. Homotopy Appl. 10, 195–209 (2008)
3. Korbaš, J.: The cup-length of the oriented Grassmannians vs a new bound for zero-cobordant manifolds. Bull. Belg. Math. Soc. Simon Stevin 17, 69–81 (2010)
4. Korbaš, J.: The characteristic rank and cup-length in oriented Grassmann manifolds. Osaka J. Math. 52, 1163–1172 (2015)
5. Korbaš, J., Rusin, T.: A note on the $${\mathbb{Z}}_2$$-cohomology algebra of oriented Grassmann manifolds. Rend. Circ. Mat. Palermo 2(65), 507–517 (2016)
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2. On integral cohomology algebra of some oriented Grassmann manifolds;Indagationes Mathematicae;2024-01
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