On the Betti numbers of the free loop space of a coformal space

DOI10.1016/S0022-4049(00)00098-0zbMath0981.55004MaRDI QIDQ5939614

Pascal Lambrechts

Publication date: 21 March 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

rational homotopy theorygeodesicsHochschild homologycohomology of Lie algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Growth rate, Gelfand-Kirillov dimension (16P90) Rational homotopy theory (55P62) Loop spaces (55P35) Geodesics in global differential geometry (53C22) Cohomology of Lie (super)algebras (17B56)

Related Items (6)

On The Growth of the Homology of a Free Loop Space II ⋮ On the free loop spaces of a toric space ⋮ Free loop space homology of highly connected manifolds ⋮ Homotopy groups of highly connected manifolds ⋮ Homotopy invariants for \(\overline{\mathcal{M}}_{0,n}\) via Koszul duality ⋮ Hochschild homology criteria for trivial algebra structures

Cites Work

• Homotopie rationelle: modèles de Chen, Quillen, Sullivan
• The homology of a free loop space
• Homotopical effects of dilatation
• A counterexample to a conjecture of Serre
• The radius of convergence of Poincaré series of loop spaces
• On the number of closed geodesics on a compact Riemannian manifold
• Algèbres connexes et homologie des espaces de lacets
• The homology theory of the closed geodesic problem
• Infinitesimal computations in topology
• Formal and coformal spaces
• Analytic properties of Poincaré series of spaces
• On the ranks of homotopy groups of two-cones
• Rational homotopy theory
• THE BETTI NUMBERS OF THE FREE LOOP SPACE OF A CONNECTED SUM
• Lectures on minimal models
• Rational L.-S. Category and Its Applications
• Homotopie rationnelle et croissance du nombre de géodésiques fermées

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