3 citations · 3 across the 3 of their papers we have counts for
9 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…