4 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.
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…