3 problems

Spherical orbit-space conjecture. The space $N(P,\lambda)$ is homeomorphic to $S^n$ if and only if

Diffeomorphism conjecture. $\mathcal{Z}_{K}$ is diffeomorphic to the connected sum of sphere products in Proposition 1.

Contact conjecture for odd-dimensional moment-angle manifolds. For every admissible configuration $\pmb{\Lambda}\subset\mathbb{R}^{2m}$, the manifold…