An explicit model for the homotopy theory of finite-type Lie \(n\)-algebras

DOI10.2140/AGT.2020.20.1371zbMath1485.17026arXiv1809.05999OpenAlexW2890970281MaRDI QIDQ2187732

Christopher L. Rogers

Publication date: 3 June 2020

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05999

zbMATH Keywords

homotopy Lie algebraLie \(n\)-algebrasimplicial manifoldcategory of fibrant objects

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Homological methods in Lie (super)algebras (17B55) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Homotopical algebra, Quillen model categories, derivators (18N40)

Related Items (2)

On the homotopy theory for Lie \(\infty\)-groupoids, with an application to integrating \(L_\infty\)-algebras ⋮ Complete \(L_\infty \)-algebras and their homotopy theory

Cites Work

• Unnamed Item
• Pro-categories in homotopy theory
• Infinitesimal computations in topology
• On an enhancement of the category of shifted \(L_\infty\)-algebras
• On the homotopy theory for Lie \(\infty\)-groupoids, with an application to integrating \(L_\infty\)-algebras
• Lie theory for nilpotent \(L_{\infty}\)-algebras
• Rational homotopy theory
• Integrating -algebras
• On 𝑃𝐿 de Rham theory and rational homotopy type
• Strongly homotopy lie algebras
• Algebraic Operads
• DG coalgebras as formal stacks

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