Models in Rational homotopy theory and Torus Rank Conjecture

2017/05/11 by Yanlong Hao, Hao, Yanlong, Xiugui Liu +3
Mathematics · #55R45 #55R91 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1705.04180

openalex publication_date 2017/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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