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How to model the free loop space algebraically

✍ Scribed by Nicolas Dupont; Kathryn Hess

Publisher: Springer
Year: 1999
Tongue: English
Weight: 152 KB
Volume: 314
Category: Article
ISSN: 0025-5831
DOI: 10.1007/s002080050303

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Let X be a simply connected ÿnite CW-complex such that dim \* (X ) ⊗ Q = ∞. We prove that if X is coformal (this is an hypothesis coming from the rational homotopy theory) then the sequence of rational Betti numbers of its free loop space, (dim Hn(X S 1 ; Q)) n≥1 , has an exponential growth. Since t