Rational homotopy of mapping spaces between complex Grassmannians

DOI10.2989/16073606.2019.1601139zbMath1456.55006OpenAlexW2935861899MaRDI QIDQ5129759

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

Publication date: 23 October 2020

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2019.1601139

zbMATH Keywords

Sullivan modelmapping space\(L_\infty\) algebraGrassmannian manifold

Mathematics Subject Classification ID

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

Related Items (3)

Cohomology algebra of mapping spaces between quaternion Grassmannians ⋮ Rational cohomology algebra of mapping spaces between complex Grassmannians ⋮ Rationalized evaluation subgroups of mapping spaces between complex Grassmannians

Cites Work

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• \(L_{\infty}\) rational homotopy of mapping spaces
• Real homotopy theory of Kähler manifolds
• Algebraic models of non-connected spaces and homotopy theory of \(L_\infty\) algebras
• Maps between certain complex 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

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