Twisting Cochains and Duality Between Minimal Algebras and Minimal Lie Algebras

DOI10.2307/1999363zbMath0515.55008OpenAlexW4251465510MaRDI QIDQ3662300

Richard M. Hain

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999363

zbMATH Keywords

differential graded coalgebrasdifferential graded Lie algebrastwisting cochainSullivan's minimal modelChen's Lie algebra modelChen's power series connectionsEckmann Hilton duality in rational homotopy theoryQuillen's minimal model

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50) Differential algebra (12H05) Modules of differentials (13N05) Eckmann-Hilton duality (55P30)

Related Items (5)

Homotopy algebra structures on twisted tensor products and string topology operations ⋮ Homological perturbation theory and mirror symmetry. ⋮ Smooth Maps, Pullback Path Spaces, Connections, and Torsions ⋮ Frobenius\(_\infty\) invariants of homotopy Gerstenhaber algebras. I ⋮ The set of multiplicative predifferentials and the rational cohomology algebra of fibre spaces

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