The characteristic rank and cup-length in oriented Grassmann manifolds

zbMath1333.57040arXiv1411.7003MaRDI QIDQ902246

Július Korbaš

Publication date: 7 January 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7003

zbMATH Keywords

Grassmann manifoldsStiefel-Whitney classescup lengthcharacteristic rank

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Topology of vector bundles and fiber bundles (57R22) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items

A note on the \(\mathbb Z_2\)-cohomology algebra of oriented Grassmann manifolds ⋮ Characteristic rank of canonical vector bundles over oriented Grassmann manifolds \(\tilde{G}_{3, n}\) ⋮ On the cohomology ring and upper characteristic rank of Grassmannian of oriented 3-planes ⋮ Cup-length of oriented Grassmann manifolds via Gröbner bases ⋮ On the characteristic rank of vector bundles over oriented Grassmannians ⋮ Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds ⋮ A note on the characteristic rank of oriented Grassmann manifolds ⋮ On the topological complexity of Grassmann manifolds ⋮ On Stiefel-Whitney classes of vector bundles over real Stiefel Manifolds ⋮ The \(\mathbb Z_2\)-Betti numbers of oriented Grassmannians ⋮ Obituary: Prof. RNDr. Július Korbaš, CSc. passed away (1955--2022)

Cites Work

• Gröbner bases of oriented Grassmann manifolds
• The cup-length of the oriented Grassmannians vs a new bound for zero-cobordant manifolds
• Homogeneous spaces defined by Lie group automorphisms. I
• La cohomologie \(\mod 2\) de certains espaces homogènes
• Note on the characteristic rank of vector bundles