Rational homotopy -- Sullivan models
arXiv:1308.6685
Abstract
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 Vigué-Poirrier-Sullivan theorem on the Betti numbers of a free loop space.
27 pages. A chapter in the book "Free loop space in geometry and Topology" to appear in IRMA Lect. Math. Theor. Phys., EMS Publishing House