The \(\mathbb Z_2\)-Betti numbers of oriented Grassmannians

MaRDI QIDQ2080652

Tetsuya Ozawa

Publication date: 10 October 2022

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-59/issue-4/The-mathbb-Z_2-Betti-numbers-of-oriented-Grassmannians/5459ojm.full

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Critical points and critical submanifolds in differential topology (57R70) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Cites Work

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• The characteristic rank and cup-length in oriented Grassmann manifolds
• On the cohomology ring and upper characteristic rank of Grassmannian of oriented 3-planes
• The Lefschetz properties
• Characteristic Classes. (AM-76)
• Algebraic Combinatorics
• A note on the cohomology ring of the oriented Grassmann manifolds $\widetilde{G}_{n,4}$

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