THE BETTI NUMBERS OF THE FREE LOOP SPACE OF A CONNECTED SUM

DOI10.1017/S0024610701002198zbMath1018.55006OpenAlexW2133975504MaRDI QIDQ3151042

Pascal Lambrechts

Publication date: 22 October 2002

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0024610701002198

zbMATH Keywords

exponential growthclosed geodesicsfree loop space

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Loop spaces (55P35) Geodesics in global differential geometry (53C22)

Related Items (10)

Closed geodesics on connected sums and \(3\)-manifolds ⋮ A contribution to the closed geodesic problem ⋮ On The Growth of the Homology of a Free Loop Space II ⋮ Homotopy of manifolds stabilized by projective spaces ⋮ Rational homotopy via Sullivan models and enriched Lie algebras ⋮ The growth rate of symplectic homology and affine varieties ⋮ Free loop space homology of highly connected manifolds ⋮ Hochschild cohomology of a strongly homotopy commutative algebra ⋮ On the Betti numbers of the free loop space of a coformal space ⋮ Homotopy groups of highly connected manifolds

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