Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds

DOI10.5817/AM2018-5-313zbMath1474.57011OpenAlexW2903971361WikidataQ128765717 ScholiaQ128765717MaRDI QIDQ4646995

Tomáš Rusin

Publication date: 3 January 2019

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

Full work available at URL: https://doi.org/10.5817/am2018-5-313

zbMATH Keywords

Grassmann manifoldStiefel-Whitney classcup-lengthcharacteristic rank

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 (1)

On the topological complexity of Grassmann manifolds

Cites Work

• Unnamed Item
• On the cohomology of oriented Grassmann manifolds
• A note on the characteristic rank of oriented Grassmann manifolds
• The characteristic rank and cup-length in oriented Grassmann manifolds
• Gröbner bases of oriented Grassmann manifolds
• The cup-length of the oriented Grassmannians vs a new bound for zero-cobordant manifolds
• Semicharacteristics of oriented Grassmannians
• A note on the \(\mathbb Z_2\)-cohomology algebra of oriented Grassmann manifolds
• Characteristic rank of canonical vector bundles over oriented Grassmann manifolds \(\tilde{G}_{3, n}\)
• La cohomologie \(\mod 2\) de certains espaces homogènes
• Characteristic Classes. (AM-76)
• Note on the characteristic rank of vector bundles

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