On the cohomology algebra of free loop spaces

DOI10.1016/S0040-9383(00)00022-7zbMath1011.16008arXivmath/0109145MaRDI QIDQ5952745

Jean-Claude Thomas, Bitjong Ndombol

Publication date: 26 February 2003

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109145

zbMATH Keywords

differential graded algebrasHochschild homologyfree loop spacesstrongly homotopy commutative graded algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Bar and cobar constructions (57T30) Differential graded algebras and applications (associative algebraic aspects) (16E45) Secondary and higher cohomology operations in algebraic topology (55S20)

Related Items (15)

Cochain algebras of mapping spaces and finite group actions ⋮ Steenrod operations in \(shc\)-algebras ⋮ String topology on Gorenstein spaces ⋮ A contribution to the closed geodesic problem ⋮ The free loop space equivariant cohomology algebra of some formal spaces ⋮ On the levels of maps and topological realization of objects in a triangulated category ⋮ On the negative cyclic homology of \(shc\)-algebras ⋮ An algebraic model for the loop space homology of a homotopy fiber ⋮ String cohomology groups of complex projective spaces ⋮ Hochschild cohomology of a strongly homotopy commutative algebra ⋮ \(E_{\infty}\)-model for a mapping space ⋮ An application of semi-free resolutions ⋮ The bitwisted Cartesian model for the free loop fibration ⋮ Configuration spaces and Vassiliev classes in any dimension ⋮ The cohomology of a pull-back on \({\mathbb K}\)-formal spaces

This page was built for publication: On the cohomology algebra of free loop spaces