Iterated integrals and homotopy periods

DOI10.1090/memo/0291zbMath0539.55002OpenAlexW2074262868MaRDI QIDQ3326446

Richard M. Hain

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1090/memo/0291

zbMATH Keywords

free Lie algebrauniversal enveloping algebraHopf algebraiterated integralsloop space homologyhomotopy groupsminimal modelformal connectionPontryagin productfat wedge of spheresgeometric cobar constructionhomotopy periodintegrating differential formsminimal Lie algebra modelsrational De Rham complexsemisimplicial complexuniversal r-th order Whitehead product

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Loop spaces (55P35) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Homology and cohomology of (H)-spaces (57T25)

Related Items (18)

Unnamed Item ⋮ The de Rham homotopy theory of complex algebraic varieties. I ⋮ On the Indecomposable Elements of the Bar Construction ⋮ Mixed Hodge structures on homotopy groups ⋮ Mixed Hodge structure in cyclic homology and algebraic K-theory. I ⋮ On maps of a sphere to a simply connected space with finitely generated homotopy groups ⋮ Solution of the constraints for tensors generated by iterated integrals ⋮ Algebraic de Rham theory for the relative completion of 𝑆𝐿₂(ℤ) ⋮ Comparison of Relatively Unipotent Log de Rham Fundamental Groups ⋮ Twisting Cochains and Duality Between Minimal Algebras and Minimal Lie Algebras ⋮ Vassiliev invariants and finite-dimensional approximations of the Euler equation in magnetohydrodynamics ⋮ Construction of homotopic invariants of maps from spheres to compact closed manifolds ⋮ Homotopy algebra structures on twisted tensor products and string topology operations ⋮ Lie coalgebras and rational homotopy theory II: Hopf invariants ⋮ Plato's cave and differential forms ⋮ Mixed Hodge structures on the homotopy of links ⋮ Homotopy Brunnian links and the $\kappa $-invariant ⋮ The third order helicity of magnetic fields via link maps. II

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