Haimiao Chen

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20242026

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math.GT2026

High-dimensional components of $SL (2, C)$ -character varieties of prime knots

Haimiao Chen

For a prime knot $K$ , we give sufficient conditions for the existence of a component $C$ of the irreducible $SL (2, C)$ -character variety of $K$ with $\dim\m…

math.GT2025

Kauffman bracket skein algebra of the 4-holed disk

Haimiao Chen

We give a monomial basis for the Kauffman bracket skein algebra of the $4$ -holed disk, and find a presentation. This is based on an insight into the $SL (2, C)$ -charac…

math.GT2024

The symmetric slice of $SL (3, C)$ -character variety of the Whitehead link

Haimiao Chen

We give a nice description for a Zariski open subset of the $SL (3, C)$ -character variety of the Whitehead link.

High-dimensional components of SL(2,C)-character varieties of prime knots

Kauffman bracket skein algebra of the 4-holed disk

The symmetric slice of SL(3,C)-character variety of the Whitehead link

High-dimensional components of $SL (2, C)$ -character varieties of prime knots

The symmetric slice of $SL (3, C)$ -character variety of the Whitehead link