Haimiao Chen

collaborators

Showing math.GTShow all

4 papers · 1 filter

math.GT2026

The $SL (2, C)$ -character variety of an arborescent knot

Haimiao Chen

We describe a procedure for computing the $SL (2, C)$ -character variety of an arborescent knot. Along the way, we clarify several facts about representations of arbore…

math.GT2026

On skein algebras of planar surfaces

Haimiao Chen

Let $R$ be a commutative ring with identity and a fixed invertible element $q^{\frac{1}{2}}$ . Let $S_{n}$ denote the Kauffman bracket skein algebra of the $n$ -holed disk $Î…

math.GT2024

The $SL (2, C)$ -character variety of the Borromean link

Haimiao Chen, Tiantian Yu

For the Borromean link, we determine its irreducible $SL (2, C)$ -character variety, and find a formula for the twisted Alexander polynomial as a function on the charac…

math.GT2024

Integral structure of the skein algebra of the 5-punctured sphere

Haimiao Chen

We give an explicit presentation for the Kauffman bracket skein algebra of the $5$ -punctured sphere over any commutative unitary ring.

The SL(2,C)-character variety of an arborescent knot

On skein algebras of planar surfaces

The SL(2,C)-character variety of the Borromean link

Integral structure of the skein algebra of the 5-punctured sphere

The $SL (2, C)$ -character variety of an arborescent knot

The $SL (2, C)$ -character variety of the Borromean link