A note on the characteristic rank of oriented Grassmann manifolds

DOI10.1016/J.TOPOL.2016.11.009zbMath1357.57062OpenAlexW2552372215MaRDI QIDQ729829

Tomáš Rusin

Publication date: 22 December 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2016.11.009

zbMATH Keywords

Stiefel-Whitney classcup-lengthGrasmann manifoldchracteristic class

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Characteristic classes and numbers in differential topology (57R20)

Related Items (5)

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

Cites Work

• Unnamed Item
• On the cohomology 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
• Bounds for the cup-length of Poincaré spaces and their applications
• La cohomologie \(\mod 2\) de certains espaces homogènes
• Characteristic Classes. (AM-76)
• Note on the characteristic rank of vector bundles

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