Homology versus homotopy in rational fibrations

DOI10.4171/RMI/1298zbMath1504.55009arXiv2006.03390OpenAlexW3183770130MaRDI QIDQ2135422

Manuel Amann

Publication date: 6 May 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03390

zbMATH Keywords

asymptotic behaviourfibrationsrational homotopyelliptic spacesrational cohomologyHilali conjecturepositively curved manifoldsformal elliptic spaces

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Global Riemannian geometry, including pinching (53C20) Algebraic topology of manifolds (57N65)

Cites Work

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• Positive curvature and rational ellipticity
• A note on the Hilali conjecture
• Some topological properties of Kaehler manifolds and homogeneous spaces
• Rational fibrations, homogeneous spaces with positive Euler characteristics and Jacobians
• Rational homotopy of Serre fibrations
• Rational universal fibrations and flag manifolds
• Rationally elliptic spaces with isomorphic cohomology algebras.
• Revisiting homogeneous spaces with positive curvature
• Reduced weighted complete intersection and derivations
• A note on the Petersen-Wilhelm conjecture
• Formal Spaces with Finite-Dimensional Rational Homotopy
• Free torus actions and two-stage spaces
• Positive curvature and symmetry in small dimensions
• Riemannian Manifolds with Positive Sectional Curvature
• The Hilali Conjecture for Hyperelliptic Spaces

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