Showing 2022Show all
3 papers · 1 filter
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.GR2022
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.
math.AT2022
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.