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
18 papers · 1 filter
The -character variety of
Haimiao Chen
The knot is the first non-arborescent hyperbolic knot. In 2020, Paoluzzi and Porti found its -character variety with the aid of a computer, but man…
Kauffman bracket skein algebra of the 4-holed disk
Haimiao Chen
We give a monomial basis for the Kauffman bracket skein algebra of the -holed disk, and find a presentation. This is based on an insight into the -charac…
Torsion in Kauffman bracket skein module of a -strand Montesinos knot exterior
Haimiao Chen
For an oriented -manifold , let denote its Kauffman bracket skein module over . We show that admits torsion…
The -character variety of the Borromean link
Haimiao Chen, Tiantian Yu
For the Borromean link, we determine its irreducible -character variety, and find a formula for the twisted Alexander polynomial as a function on the charac…
Lifting homeomorphisms and finite abelian branched covers of the 2-sphere
Haimiao Chen
We completely determine finite abelian regular branched covers of the 2-sphere with the property that each homeomorphism of preserving the branching set can be lifted.
The -character variety of a Montesinos knot
Haimiao Chen
For each Montesinos knot , we propose an efficient method to explicitly determine the irreducible -character variety, and show that it can be decomposed…