Models in Rational homotopy theory and Torus Rank Conjecture

Abstract

In this paper, we focus on some models in rational homotopy theory, Sullivan model, Quillen model, C_\infty model, and L_\infty model. We give some connections between them. As an application, we prove the Torus Rank Conjecture.

There are gaps in the proof of the Rorus Rank Conjecture, I can not cover it now