Lie models for the components of sections of a nilpotent fibration

DOI10.1090/S0002-9947-09-04870-3zbMath1180.55008OpenAlexW1966374535MaRDI QIDQ3182552

Urtzi Buijs, Yves Félix, Aniceto Murillo-Mas

Publication date: 9 October 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04870-3

zbMATH Keywords

rational homotopy theorySullivan modelmapping spaceQuillen modelspace of sections

Mathematics Subject Classification ID

Rational homotopy theory (55P62)

Related Items (17)

\(L_{\infty}\) rational homotopy of mapping spaces ⋮ Some notes on the sectional fibrations ⋮ Lie models of homotopy automorphism monoids and classifying fibrations ⋮ SOME NOTES ON THE ELLIPTICITY OF NILPOTENT SPACES ⋮ Rational homotopy of the (homotopy) fixed point sets of circle actions ⋮ Unnamed Item ⋮ An explicit \(L_\infty\) structure for the components of mapping spaces ⋮ On the rational homotopical nilpotency index of principal bundles ⋮ Rational homotopy via Sullivan models and enriched Lie algebras ⋮ The Lawrence-Sullivan construction is the right model for \(I^{+}\) ⋮ Generalized Rational Evaluation Subgroups of the Inclusion between Complex Projective Spaces ⋮ A model for function spaces ⋮ Daniel Quillen, the father of abstract homotopy theory ⋮ \(L_{\infty }\) models of based mapping spaces ⋮ Whitehead products in function spaces: Quillen model formulae ⋮ Rational homotopy type of the classifying space for fibrewise self-equivalences ⋮ The homotopy fixed point set of Lie group actions on elliptic spaces

Cites Work

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• Rational category of the space of sections of a nilpotent bundle
• Homotopie modérée et tempérée avec les coalgèbres. Applications aux espaces fonctionnels. (Tame homotopy via coalgebras. Applications to function spaces)
• Rationalized evaluation subgroups of a map. II: Quillen models and adjoint maps
• The rational homotopy Lie algebra of function spaces
• Rational homotopy theory of fibrations
• Sur l'homotopie rationnelle des espaces fonctionnels
• Infinitesimal computations in topology
• Basic constructions in rational homotopy theory of function spaces
• Nilpotent Spaces of Sections
• On 𝑃𝐿 de Rham theory and rational homotopy type
• On the rational homotopy type of function spaces
• Rational Homotopy of the Space of Sections of a Nilpotent Bundle

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