4 problems

Gitler–López conjecture. $Z_v$ is diffeomorphic to

Let $P$ be an $n$-dimensional flag simple polytope, meaning that every set of pairwise intersecting facets has nonempty total intersection, and suppose that $P$ is not combinatoria…

Let $P$ be a simple polytope, meaning that exactly $\operatorname{dim}(P)$ facets meet at each vertex. A simple polytope is realized as a face of another polytope when it is combin…

Let $P$ be a simple polytope and let $Z^{\mathbf C}$ denote its associated complex moment-angle manifold. A polytope is dual-neighborly when every collection of at most $[d/2]$ fac…