3 papers
math.AT2022
The homotopy fixed point sets of spheres actions on rational complexes
Yanlong Hao, Xiugui Liu, Qianwen Sun
In this paper, we describe the homotopy type of the homotopy fixed point sets of -actions on rational spheres and complex projective spaces, and provide some properties of $S^…
math.AT2022
On the rational homotopical nilpotency index of principal bundles
Yanlong Hao, Xiugui Liu
Let denote the space of all self-fibre homotopy equivalences of a principal -bundle of simply connected CW complexes with finite. When …
math.AT2017
Models in Rational homotopy theory and Torus Rank Conjecture
Yanlong Hao, Xiugui Liu, Qianwen Sun
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…