Shangjun Shi

collaborators

3 papers

math.GT2026

Building Foliations from Heegaard Diagrams

Shangjun Shi, Yanqing Zou

Every closed orientable 3-manifold admits both a Heegaard splitting and a coorientable codimension-one foliation. We address the foliation realization problem: constructing a folia…

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…

Building Foliations from Heegaard Diagrams

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 $(S^{1} \times S^{2}) # (S^{1} \times S^{2})$