We classify 3-valent GKM fiber bundles over n-gons, show that they are all realized as the projectivization of equivariant complex rank 2 vector bundles over quasitoric 4-manifolds, and investigate the existence of invariant (stable) almost complex, symplectic, and Kähler structures on the total space. In this way we obtain infinitely many new examples of Hamiltonian non-Kähler actions in dimension 6 with prescribed shape of the x-ray, in particular with prescribed number of fixed points.

This is joint work with Panagiotis Konstantis and Leopold Zoller.