Suyoung Choi

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math.AT2026

On the toric lifting properties for simplicial $3$ -spheres

Suyoung Choi, Yuanxin Guan, Hyeontae Jang +1

We study the lifting problem for mod $2$ characteristic maps over simplicial $3$ -spheres. Using a bad-block partition of the universal complex $X (Z_{2}^{4})$ , we prove an avoi…

math.AT2026

Small covers as pullbacks from the simplex

Suyoung Choi, Hyeontae Jang, Younghan Yoon

We introduce and study small covers that are pullbacks from the simplex, extending pullbacks from the linear model. Our main result gives several equivalent characterizations of th…

math.AT2024

Toric wedge induction and toric lifting property for piecewise linear spheres with a few vertices

Let $K$ be an $(n - 1)$ -dimensional piecewise linear sphere on $[m]$ , where $m \leq n + 4$ . There are a canonical action of $m$ -dimensional torus $T^{m}$ on the moment-angle complex $\mat…

On the toric lifting properties for simplicial 3-spheres

Small covers as pullbacks from the simplex

Toric wedge induction and toric lifting property for piecewise linear spheres with a few vertices

On the toric lifting properties for simplicial $3$ -spheres