Rational homotopy -- Sullivan models

Luc Menichi (LAREMA)

Rational homotopy -- Sullivan models

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arxiv 1308.6685 v1 pith:OJL5OHLN submitted 2013-08-30 math.AT

Rational homotopy -- Sullivan models

Luc Menichi (LAREMA) This is my paper

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keywords sullivanfreeloopmodelsspacebettichaptere-poirrier-sullivan

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This chapter is a short introduction to Sullivan models. In particular, we find the Sullivan model of a free loop space and use it to prove the Vigu\'e-Poirrier-Sullivan theorem on the Betti numbers of a free loop space.

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