Quadratic Isoperimetric Inequality for Mapping Tori of Hyperbolic Groups
In this paper, we establish that the mapping torus of a one-ended torsion-free hyperbolic group exhibits a quadratic isoperimetric inequality.
math.GR↗
arXiv subjects
Qianwen Sun
Publications and source records attributed to Qianwen Sun.
Dehn functions for mapping tori of amalgam of free groups
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.
math.GR↗
The homotopy fixed point sets of spheres actions on rational complexes
In this paper, we describe the homotopy type of the homotopy fixed point sets of $S^3$-actions on rational spheres and complex projective spaces, and provide some properties of $S^1$-actions on a general rational complex.
math.AT↗
Two-stage spaces and the torus rank conjecture
In this note, we give some new families of two-stage spaces for which the torus rank conjecture is affirmed.
math.AT↗
Moore's Conjecture for Polyhedral Products
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.
math.AT↗
Models in Rational homotopy theory and Torus Rank Conjecture
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.
math.AT↗