Smooth Maps, Pullback Path Spaces, Connections, and Torsions

DOI10.2307/2000543zbMath0603.58002OpenAlexW4234259608MaRDI QIDQ3739916

Kuo-Tsai Chen

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000543

zbMATH Keywords

connectionsde Rham complexestorsionspullback path space

Mathematics Subject Classification ID

Global differential geometry (53C99) General theory of differentiable manifolds (58A99)

Cites Work

• Homotopie rationelle: modèles de Chen, Quillen, Sullivan
• A model of Adams-Hilton type for fiber squares
• Real homotopy theory of Kähler manifolds
• Extension of \(C^\infty\) function algebra by integrals and Malcev completion of \(\pi_1\)
• Infinitesimal computations in topology
• Formes différentielles et suites spectrales
• Obstructions to homotopy equivalences
• Rational homotopy theory
• Lectures on the Eilenberg-Moore spectral sequence
• Twisting Cochains and Duality Between Minimal Algebras and Minimal Lie Algebras
• On the theory and applications of differential torsion products
• Rational Fibrations, Minimal Models, and Fibrings of Homogeneous Spaces
• Iterated path integrals
• Pullback De Rham Cohomology of the Free Path Fibration
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