7 citations · 45 across the 32 of their papers we have counts for
6 papers · 1 filter
Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery
Haimiao Chen
We apply Dijkgraaf-Witten invariant over an semiproduct of abelian groups to show that, if the -surgery along a knot results in a small Seifert 3-manifold with multipli…
Computing twisted Alexander polynomials for Montesinos links
Haimiao Chen
In recent years, twisted Alexander polynomial has been playing an important role in low-dimensional topology. For Montesinos links, we develop an efficient method to compute the tw…
Trace-free -representations of arborescent links
Haimiao Chen
Given a link , a representation is {\it trace-free} if it sends each meridian to an element with trace zero. We present a method…
The automorphism group of a nonsplit metacyclic 2-group
Haimiao Chen
We determine the structure of automorphism group or each nonsplit metacyclic 2-group. This completes the work on automorphism groups of metacyclic -groups.
Character varieties of odd classical pretzel knots
Haimiao Chen
We determine the -character variety for each odd classical pretzel knot , and present a method for computing its A-polynomial.
Regular -balanced Cayley maps on split metacyclic -groups
Haimiao Chen, Jingrui Zhang
A regular -balanced Cayley map on a group is an embedding of a Cayley graph on into a surface with certain special symmetric properties. We completely classify regular $…