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20112026
most citedThe group fixed by a family of endomorphisms of a surface group

10 citations · 23 across the 13 of their papers we have counts for

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7 papers · 1 filter

math.GT2023★ 3 cited

Aspherical manifolds which do not have Bounded Index Property

Qiang Zhang, Xuezhi Zhao

We prove that some aspherical manifolds do not have BIP, negating a question of Jiang.

math.GT2023

Iwip endomorphisms of free groups and fixed points of graph selfmaps

Peng Wang, Qiang Zhang

In a paper from 2011, Jiang, Wang and Zhang studied the fixed points and fixed subgroups of selfmaps on a connected finite graph or a connected compact hyperbolic surface . In p…

math.GT2020

Fixed point indices and fixed words at infinity of selfmaps of graphs

Qiang Zhang, Xuezhi Zhao

Indices of fixed point classes play a central role in Nielsen fixed point theory. Jiang-Wang-Zhang proved that for selfmaps of graphs and surfaces, the index of any fixed point cla…

math.GT2019

On the bounded index property for products of aspherical polyhedra

Shengkui Ye, Qiang Zhang

A compact polyhedron is said to have the Bounded Index Property for Homotopy Equivalence (BIPHE) if there is a finite bound such that for any homotopy equivalence…

math.GT2017★ 1 cited

Bounds for fixed points on products of hyperbolic surfaces

Qiang Zhang, Xuezhi Zhao

For the product of any two connected compact hyperbolic surfaces and , we give a finite bound such that for any self-homeomorphism of $…

math.GT2015★ 2 cited

The fixed subgroups of homeomorphisms of Seifert manifolds

Qiang Zhang

Let be a compact connected orientable Seifert manifold with hyperbolic orbifold , and be an automorphism induced by an orientation-reversing…

math.GT2011

Tight contact structures on some bounded Seifert manifolds with minimal convex boundary

Fan Ding, Youlin Li, Qiang Zhang

We classify positive tight contact structures, up to isotopy fixing the boundary, on the manifolds with minimal convex boundary of slope and Giroux torsi…