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On integral cohomology algebra of some oriented Grassmann manifolds

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Publication:6186997
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DOI10.1016/j.indag.2023.07.004arXiv2212.08557OpenAlexW4385163891MaRDI QIDQ6186997

Milica Jovanović

Publication date: 10 January 2024

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.08557

zbMATH Keywords

characteristic classesLeray-Serre spectral sequenceoriented Grassmann manifold


Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Serre spectral sequences (55T10)




Cites Work

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  • The cohomology rings of real Stiefel manifolds with integer coefficients
  • Algebraic topology of special Lagrangian manifolds
  • On the cohomology ring and upper characteristic rank of Grassmannian of oriented 3-planes
  • A note on the \(\mathbb Z_2\)-cohomology algebra of oriented Grassmann manifolds
  • On the Topology of the Even-Dimensional Complex Quadrics
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