Pullback De Rham Cohomology of the Free Path Fibration

DOI10.2307/1997740zbMath0389.58002OpenAlexW4232198632MaRDI QIDQ4171320

Kuo-Tsai Chen

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1997740

Mathematics Subject Classification ID

Bar and cobar constructions (57T30) Sheaf cohomology in algebraic topology (55N30) de Rham theory in global analysis (58A12) Algebraic topology of manifolds (57N65) Eilenberg-Moore spectral sequences (55T20) Serre spectral sequences (55T10)

Related Items

On the mapping space homotopy groups and the free loop space homology groups, Simplicial cochain algebras for diffeological spaces, Smooth Maps, Pullback Path Spaces, Connections, and Torsions, Circular bar construction

Cites Work

• On the multiplicative structure of the de Rham theory
• Infinitesimal computations in topology
• On the multiplicative structure of the de Rham cohomology of induced fibrations
• Homology and fibrations I: Coalgebras, cotensor product and its derived functors
• Iterated integrals of differential forms and loop space homology
• Iterated path integrals
• Homological Algebra and the Eilenberg-Moore Spectral Sequence
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