Non-formal homogeneous spaces

DOI10.1007/s00209-012-1117-6zbMath1273.57014arXiv1206.0786OpenAlexW1991005246MaRDI QIDQ358850

Manuel Amann

Publication date: 9 August 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0786

zbMATH Keywords

rational homotopy theoryhomogeneous spaceformality.non-formal manifold

Mathematics Subject Classification ID

Algebraic topology of manifolds (57N65) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items (12)

Geometrically formal homogeneous metrics of positive curvature ⋮ Positive curvature, symmetry, and topology ⋮ Vector bundles of non-negative curvature over cohomogeneity one manifolds ⋮ Bounds on sectional curvature and interactions with topology ⋮ On SO(3)-bundles over the Wolf spaces ⋮ Sullivan minimal models of classifying spaces for non-formal spaces of small rank ⋮ On the rational topological complexity of coformal elliptic spaces ⋮ The toral rank conjecture and variants of equivariant formality ⋮ Fiber-homotopy self-equivalences and a classification of fibrations in rational homotopy ⋮ Rational cohomologies of classifying spaces for homogeneous spaces of small rank ⋮ Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers ⋮ On formality of homogeneous Sasakian manifolds

Cites Work

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