Haimiao Chen

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20232026

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math.GT2023

Presentations of Kauffman bracket skein algebras of planar surfaces

Haimiao Chen

Let $R$ be a commutative ring with identity and a fixed invertible element $q^{\frac{1}{2}}$ , and suppose $q + q^{- 1}$ is invertible in $R$ . For each planar surface $Σ_{0, n + 1}$ , we p…

math.GT2023

Torsion in Kauffman bracket skein module of a $4$ -strand Montesinos knot exterior

Haimiao Chen

For an oriented $3$ -manifold $M$ , let $S (M)$ denote its Kauffman bracket skein module over $Z [q^{\pm \frac{1}{2}}]$ . We show that $S (M)$ admits torsion…

Presentations of Kauffman bracket skein algebras of planar surfaces

Torsion in Kauffman bracket skein module of a 4-strand Montesinos knot exterior

Torsion in Kauffman bracket skein module of a $4$ -strand Montesinos knot exterior