A note on the cohomology ring of the oriented Grassmann manifolds $\widetilde{G}_{n,4}$

DOI10.5817/AM2019-5-319OpenAlexW2996716387MaRDI QIDQ5206323

Tomáš Rusin

Publication date: 18 December 2019

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5817/am2019-5-319

zbMATH Keywords

Stiefel-Whitney classcharacteristic rankoriented Grassmann manifold

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Characteristic classes and numbers in differential topology (57R20) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (2)

Cylinders Through Five Points: Complex and Real Enumerative Geometry ⋮ The \(\mathbb Z_2\)-Betti numbers of oriented Grassmannians

Cites Work

• On the cohomology of oriented Grassmann manifolds
• The cup-length of the oriented Grassmannians vs a new bound for zero-cobordant manifolds
• Semicharacteristics of oriented Grassmannians
• On the cohomology ring and upper characteristic rank of Grassmannian of oriented 3-planes
• A note on the \(\mathbb Z_2\)-cohomology algebra of oriented Grassmann manifolds
• La cohomologie \(\mod 2\) de certains espaces homogènes
• Characteristic Classes. (AM-76)
• On the characteristic rank of vector bundles over oriented Grassmannians
• Note on the characteristic rank of vector bundles

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