Xiao Wang

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math.GT2025

Fundamentals of cubic skein modules

Rhea Palak Bakshi, Anthony Christiana, Huizheng Guo +6

Over the past thirty-seven years, the study of linear and quadratic skein modules has produced a rich and far-reaching skein theory, intricately connected to diverse areas of mathe…

math.GT2025

Kauffman bracket skein module of two families of Seifert manifolds

Minyi Liang, Shangjun Shi, Xiao Wang

We compute the Kauffman bracket skein modules of Seifert manifolds $I^£_{0, 1} ((k_{1}, 1), (k_{2}, 1))$ and $I^£_{0, 0} ((k_{1}, 1), (k_{2}, 1), (k_{3}, 1))$ by providing presentations of them. From the…

math.GT2025

On the Kauffman bracket skein module of $(S^{1} \times S^{2}) # (S^{1} \times S^{2})$

Rhea Palak Bakshi, Seongjeong Kim, Shangjun Shi +1

Determining the structure of the Kauffman bracket skein module of all $3$ -manifolds over the ring of Laurent polynomials $Z [A^{\pm 1}]$ is a big open problem in skein theor…

Fundamentals of cubic skein modules

Kauffman bracket skein module of two families of Seifert manifolds

On the Kauffman bracket skein module of (S1×S2) # (S1×S2)

On the Kauffman bracket skein module of $(S^{1} \times S^{2}) # (S^{1} \times S^{2})$