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Some notes on the sectional fibrations

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Publication:284615
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DOI10.1016/j.topol.2016.04.015zbMath1350.55017OpenAlexW2345620941MaRDI QIDQ284615

Xiu Gui Liu, Rui Zhi Huang

Publication date: 18 May 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2016.04.015


zbMATH Keywords

Sullivan model\(L_\infty\)-algebraLie modelMaurer-Cartan elementsectional fibration


Mathematics Subject Classification ID

Rational homotopy theory (55P62)




Cites Work

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  • \(L_{\infty}\) rational homotopy of mapping spaces
  • An explicit \(L_\infty\) structure for the components of mapping spaces
  • Rational homotopy of Serre fibrations
  • The homology theory of the closed geodesic problem
  • Infinitesimal computations in topology
  • Introduction to sh Lie algebras for physicists
  • Algebraic models of non-connected spaces and homotopy theory of \(L_\infty\) algebras
  • Derivations, the Lawrence-Sullivan interval and the Fiorenza-Manetti mapping cone
  • Rational homotopy theory
  • Lie models for the components of sections of a nilpotent fibration
  • On the rational homotopy type of function spaces
  • Rational Homotopy of the Space of Sections of a Nilpotent Bundle
  • Strongly homotopy lie algebras
  • Algebraic Operads


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