Koszul duality in algebraic topology

DOI10.1007/s40062-012-0008-1zbMath1283.18008OpenAlexW2023808457MaRDI QIDQ1946122

Dev P. Sinha

Publication date: 18 April 2013

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40062-012-0008-1

zbMATH Keywords

Hopf invariantsoperadsbar and cobar constructionsKoszul-Moore duality

Mathematics Subject Classification ID

Bar and cobar constructions (57T30) Loop space machines and operads in algebraic topology (55P48)

Related Items

Poincaré/Koszul duality

Cites Work

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• Lie coalgebras and rational homotopy theory. I: Graph coalgebras
• On the chain algebra of a loop space
• On the non-existence of elements of Hopf invariant one
• Infinitesimal computations in topology
• Homotopy invariant algebraic structures on topological spaces
• Iterated loop spaces
• On the structure of Hopf algebras
• Rational homotopy theory
• Reduced product spaces
• Lie coalgebras and rational homotopy theory II: Hopf invariants
• Koszul Resolutions
• An Expression of Hopf's Invariant as an Integral
• Cohomology Theory of Lie Groups and Lie Algebras
• Rational homotopy theory and differential forms