Haimiao Chen

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20232026

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math.GT2026

Presentations of skein algebras of genus 2

Haimiao Chen

We give a presentation for the Kauffman bracket skein algebra of a closed or one-holed oriented surface of genus $2$ . This is the first such result for genus greater than $1$ .

math.GT2026

Computing Alexander polynomials for arborescent links

Haimiao Chen

Alexander polynomial was born one century ago, but explicit formulas have been found for only a few families of links. In this paper, we present an efficient method of computing Al…

math.GT2026

The $SL (2, C)$ -character variety of the magic $3$ -manifold

Haimiao Chen

We determine the irreducible $SL (2, C)$ -character variety of the 3-chain link exterior which is called the `magic $3$ -manifold', and deduce a formula for the twisted…

Presentations of skein algebras of genus 2

Computing Alexander polynomials for arborescent links

The SL(2,C)-character variety of the magic 3-manifold

The $SL (2, C)$ -character variety of the magic $3$ -manifold