An explicit \(L_\infty\) structure for the components of mapping spaces

DOI10.1016/j.topol.2011.11.030zbMath1241.55007OpenAlexW2077343633MaRDI QIDQ409507

Urtzi Buijs

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.030

zbMATH Keywords

minimal modelsmapping spaces\(L_\infty\)-algebracomplex of derivations

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Function spaces in general topology (54C35)

Related Items (4)

Some notes on the sectional fibrations ⋮ Derivations, the Lawrence-Sullivan interval and the Fiorenza-Manetti mapping cone ⋮ The Lawrence-Sullivan construction is the right model for \(I^{+}\) ⋮ Homotopy transfer and rational models for mapping spaces

Cites Work

• \(L_{\infty}\) rational homotopy of mapping spaces
• \(L_{\infty }\) models of based mapping spaces
• Rationalized evaluation subgroups of a map. II: Quillen models and adjoint maps
• The rational homotopy Lie algebra of function spaces
• The Lie algebra structure of tangent cohomology and deformation theory
• The rational homology of function spaces
• Infinitesimal computations in topology
• Lie algebras, coalgebras and rational homotopy theory for nilpotent spaces
• Introduction to sh Lie algebras for physicists
• Deformation quantization of Poisson manifolds
• Basic constructions in rational homotopy theory of function spaces
• Lie theory for nilpotent \(L_{\infty}\)-algebras
• Rational homotopy theory
• Lie models for the components of sections of a nilpotent fibration
• String Topology in Dimensions Two and Three
• 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
• Strongly homotopy lie algebras

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