3 citations · 6 across the 9 of their papers we have counts for
10 papers
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.
Simple Smale flows and their templates on
Xiang Liu, Xuezhi Zhao
The embedded template is a geometric tool in dynamics being used to model knots and links as periodic orbits of -dimensional flows. We prove that for an embedded template in $S^…
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…
Isotopy Uniqueness of Self-diffeomorphism of Handlebodies
Fang Sun, Xuezhi Zhao
The mapping class group of a surface of genus has a long-history in topology and group theory. More recently, the mapping class group of a handlebody $V_g…
Geometric intersections of loops on surfaces
Ying Gu, Xuezhi Zhao
Based on Nielsen fixed point theory and Gröbner-Shirshov basis, we obtain a simple method to compute geometric intersection numbers and self-intersection geometric numbers of loops…
A simple algorithm to compute link polynomials defined by using skein relations
Xuezhi Zhao
We give a simple and practical algorithm to compute the link polynomials, which are defined according to the skein relations. Our method is based on a new total order on the set of…
A forcing relation of braids from Nielsen fixed point theory
Jiaoyun Wang, XuezhiZhao
In this paper, we focus our attention on the connections between the braid group and the Nielsen fixed point theory. A new forcing relation between braids is introduced, and shown…
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 $…
Mapping degrees between spherical -manifolds
Daciberg Gonçalves, Peter Wong, Xuezhi Zhao
Let be the set of integers that can be realized as the degree of a map between two closed connected orientable manifolds and of the same dimension. For closed -…
Density of the homotopy minimal periods of maps on infra-solvmanifolds
Jong Bum Lee, Xuezhi Zhao
We study the homotopical minimal periods for maps on infra-solvmanifolds of type (R) using the density of the homotopical minimal period set in the natural numbers. This extends th…