Haimiao Chen

activity

20112023

most citedAutomorphisms of metacyclic groups

7 citations · 45 across the 32 of their papers we have counts for

collaborators

Showing 2017 · math.GTShow all

4 papers · 2 filters

math.GT2017

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 $k / ℓ$ -surgery along a knot $K$ results in a small Seifert 3-manifold with multipli…

math.GT2017★ 2 cited

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…

math.GT2017

Trace-free $SL (2, C)$ -representations of arborescent links

Haimiao Chen

Given a link $L \subset S^{3}$ , a representation $π_{1} (S^{3} - L) \to SL (2, C)$ is {\it trace-free} if it sends each meridian to an element with trace zero. We present a method…

math.GT2017★ 6 cited

Character varieties of odd classical pretzel knots

Haimiao Chen

We determine the $SL (2, C)$ -character variety for each odd classical pretzel knot $P (2 k_{1} + 1, 2 k_{2} + 1, 2 k_{3} + 1)$ , and present a method for computing its A-polynomial.

Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery

Computing twisted Alexander polynomials for Montesinos links

Trace-free SL(2,C)-representations of arborescent links

Character varieties of odd classical pretzel knots

Trace-free $SL (2, C)$ -representations of arborescent links