Models in Rational homotopy theory and Torus Rank Conjecture
Algebraic Topology
2017-05-24 v3
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.
Keywords
Cite
@article{arxiv.1705.04180,
title = {Models in Rational homotopy theory and Torus Rank Conjecture},
author = {Yanlong Hao and Xiugui Liu and Qianwen Sun},
journal= {arXiv preprint arXiv:1705.04180},
year = {2017}
}
Comments
There are gaps in the proof of the Rorus Rank Conjecture, I can not cover it now