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

Suyoung Choi, Hyeontae Jang, Mathieu Vallée

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