Characteristic rank of canonical vector bundles over oriented Grassmann manifolds \(\tilde{G}_{3, n}\)

DOI10.1016/j.topol.2017.08.010zbMath1376.57029OpenAlexW2752520918MaRDI QIDQ2405064

Zoran Z. Petrović, Branislav I. Prvulović, Marko Radovanović

Publication date: 21 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.08.010

zbMATH Keywords

Grassmann manifoldStiefel-Whitney classcup-lengthcharacteristic rank

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Characteristic classes and numbers in differential topology (57R20)

Related Items (5)

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 ⋮ On the topological complexity of Grassmann manifolds

Cites Work

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• On Groebner bases and immersions of Grassmann manifolds \(G_{2,n}\)
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• Gröbner bases of oriented Grassmann manifolds
• The cup-length of the oriented Grassmannians vs a new bound for zero-cobordant manifolds
• Multiplication in the cohomology of Grassmannians via Gröbner bases
• A note on the \(\mathbb Z_2\)-cohomology algebra of oriented Grassmann manifolds
• La cohomologie \(\mod 2\) de certains espaces homogènes
• Note on the characteristic rank of vector bundles

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