Rational cohomology algebra of mapping spaces between complex Grassmannians

DOI10.1155/2020/9385153zbMath1486.55017OpenAlexW3004038033MaRDI QIDQ1989050

Paul Antony Otieno, Vitalis Onyango-Otieno, Jean Baptiste Gatsinzi

Publication date: 24 April 2020

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/9385153

zbMATH Keywords

Sullivan modelscohomology algebracomplex Grassmannian

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Rational homotopy theory (55P62) Function spaces in general topology (54C35) Grassmannians, Schubert varieties, flag manifolds (14M15) Fiber bundles in algebraic topology (55R10)

Related Items (3)

Cohomology algebra of mapping spaces between quaternion Grassmannians ⋮ Relative Gottlieb groups of mapping spaces and their rational cohomology ⋮ Relative Gottlieb groups of the Pl\"ucker embedding of some complex Grassmanians

Cites Work

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• \(L_{\infty}\) rational homotopy of mapping spaces
• Real homotopy theory of Kähler manifolds
• Endomorphisms of the Cohomology of Complex Grassmannians
• Rational Homotopy of Spaces of Maps Into Spheres and Complex Projective Spaces
• Rational Homotopy of the Space of Sections of a Nilpotent Bundle
• Strongly homotopy lie algebras
• Rational homotopy of mapping spaces between complex Grassmannians

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