12 citations · 12 across the 6 of their papers we have counts for
6 papers
Quadratic Isoperimetric Inequality for Mapping Tori of Hyperbolic Groups
Qianwen Sun
In this paper, we establish that the mapping torus of a one-ended torsion-free hyperbolic group exhibits a quadratic isoperimetric inequality.
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^…
Dehn functions for mapping tori of amalgam of free groups
Qianwen Sun
For an amalgam of two free groups and a particular kind of automorphism, we show that the Dehn function of the corresponding mapping torus is quadratic.
Two-stage spaces and the torus rank conjecture
Yanlong Hao, Xiugui Liu, Qianwen Sun
In this note, we give some new families of two-stage spaces for which the torus rank conjecture is affirmed.
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…
Moore's Conjecture for Polyhedral Products
Yanlong Hao, Qianwen Sun, Stephen Theriault
Moore's Conjecture is shown to hold for generalized moment-angle complexes and a criterion is proved that determines when a polyhedral product is elliptic or hyperbolic.