545 citations
- Capital Normal UniversityCN14 papers
- Max Planck Institute for Mathematics in the SciencesDE10 papers
- Chinese Academy of SciencesCN9 papers
- University of Chinese Academy of SciencesCN7 papers
- Beihang UniversityCN6 papers
- Max Planck Institute for MathematicsDE6 papers
- Peking UniversityCN6 papers
- The University of SydneyAU6 papers
- Shandong UniversityCN4 papers
- University of Science and Technology of ChinaCN4 papers
- Beijing University of Posts and TelecommunicationsCN3 papers
- Institute of PhysicsPL3 papers
10 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…
An oscillating Casimir potential between two impurities in a spin-orbit coupled Bose-Einstein condensate
Pei-Song He, Qing Sun, An-Chun Ji
We study the Casimir potential between two impurities immersed in a spin-orbit coupled BoseEinstein condensate (BEC) with plane-wave order. We find that, by exchanging the virtual…
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…
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.
Failsafe Mechanism Design of Multicopters Based on Supervisory Control Theory
Quan Quan, Zhiyao Zhao, Liyong Lin +3
In order to handle undesirable failures of a multicopter which occur in either the pre-flight process or the in-flight process, a failsafe mechanism design method based on supervis…