Rational fibrations, homogeneous spaces with positive Euler characteristics and Jacobians

DOI10.5802/aif.1078zbMath0608.55006OpenAlexW2316546671MaRDI QIDQ1085832

B. George

Publication date: 1987

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1987__37_1_81_0

zbMATH Keywords

Weyl groupJacobianrational coefficientsfibration whose fiber has a homotopy type of homogeneous spacetotally nonhomologous to zero

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Rational homotopy theory (55P62) Fiber spaces in algebraic topology (55R05)

Related Items (21)

Relative Gottlieb groups of embeddings between complex Grassmannians ⋮ k-th singular locus moduli algebras of singularities and their derivation Lie algebras ⋮ Derivations of the moduli algebras of weighted homogeneous hypersurface singularities ⋮ Obstructions to nonnegative curvature and rational homotopy theory ⋮ Homology versus homotopy in rational fibrations ⋮ Cohomology automorphisms of some homogeneous spaces ⋮ Matrix factorisations arising from well-generated complex reflection groups ⋮ Sullivan minimal models of classifying spaces for non-formal spaces of small rank ⋮ Halperin’s conjecture in formal dimensions up to 20 ⋮ A fibre-restricted Gottlieb group and its rational realization problem ⋮ On a DGL-map between derivations of Sullivan minimal models ⋮ On fibrations with formal elliptic fibers ⋮ Positive curvature and rational ellipticity ⋮ Fiber-homotopy self-equivalences and a classification of fibrations in rational homotopy ⋮ Rational cohomologies of classifying spaces for homogeneous spaces of small rank ⋮ The rational homotopy Lie algebra of classifying spaces for formal two-stage spaces ⋮ Rational homotopy type of the classifying space for fibrewise self-equivalences ⋮ Relative Gottlieb groups of the Pl\"ucker embedding of some complex Grassmanians ⋮ Algèbre de Lie de dérivations de certaines algèbres pures ⋮ Loop space homology -- problems and questions ⋮ Hochschild cohomology of certain Koszul Sullivan Extensions

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