Rational homotopy -- Sullivan models
Algebraic Topology
2013-09-02 v1
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 Vigu\'e-Poirrier-Sullivan theorem on the Betti numbers of a free loop space.
Cite
@article{arxiv.1308.6685,
title = {Rational homotopy -- Sullivan models},
author = {Luc Menichi},
journal= {arXiv preprint arXiv:1308.6685},
year = {2013}
}
Comments
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