On the cohomology ring and upper characteristic rank of Grassmannian of oriented 3-planes

DOI10.1007/s40062-019-00244-1zbMath1441.57027arXiv1712.00284OpenAlexW3104444099MaRDI QIDQ2173523

Prateep Chakraborty, Somnath Basu

Publication date: 16 April 2020

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00284

zbMATH Keywords

cup-lengthupper characteristic rankoriented Grassmanian of three planes

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) Algebraic topology on manifolds and differential topology (57R19) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items (6)

Cup-length of oriented Grassmann manifolds via Gröbner bases ⋮ On integral cohomology algebra of some oriented Grassmann manifolds ⋮ Algebraic topology of special Lagrangian manifolds ⋮ A note on the cohomology ring of the oriented Grassmann manifolds $\widetilde{G}_{n,4}$ ⋮ On the topological complexity of Grassmann manifolds ⋮ The \(\mathbb Z_2\)-Betti numbers of oriented Grassmannians

Cites Work

• 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
• A note on the \(\mathbb Z_2\)-cohomology algebra of oriented Grassmann manifolds
• Characteristic rank of canonical vector bundles over oriented Grassmann manifolds \(\tilde{G}_{3, n}\)
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Characteristic Classes. (AM-76)
• Note on the characteristic rank of vector bundles
• On the Topology of the Even-Dimensional Complex Quadrics

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