Cohomology algebra of mapping spaces between quaternion Grassmannians

DOI10.15673/pigc.v16i2.2453zbMath1527.55014OpenAlexW4385502165MaRDI QIDQ6051433

Oteng Maphane

Publication date: 20 September 2023

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15673/pigc.v16i2.2453

zbMATH Keywords

Sullivan modelGrassmann manifoldsmapping space\(L_\infty \)-algebra

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Function spaces in general topology (54C35)

Cites Work

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• \(L_{\infty}\) rational homotopy of mapping spaces
• \(L_{\infty }\) models of based mapping spaces
• Degrees of maps between Grassmann manifolds
• Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences
• On continuous maps between Grassmann manifolds
• Infinitesimal computations in topology
• On degrees of maps between Grassmannians
• Rational cohomology algebra of mapping spaces between complex Grassmannians
• Maps between certain complex Grassmann manifolds
• Rational Automorphisms of Grassmann 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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