Polynesia is a heading over many peoples across an ocean, and the atlas treats it as one. The differences between Hawaiian, Maori, Tahitian, Samoan and Tongan traditions are real and are the responsibility of the communities that hold them.
What the traditions share is genealogy as the organising principle. Descent is the framework in which gods, ancestors, chiefs and the natural world are all placed, and a recitation of whakapapa or of the Hawaiian Kumulipo is a cosmology and a legal claim at the same time. The pantheon is not a court but a line.
Several major atua recur across the region with departmental spheres, forests, sea, cultivated food, war, and no one of them presides everywhere. Which is greatest depends on where you are.
The best attested succession narrative is the separation of the primordial parents. Rangi and Papa lie together in an embrace that leaves their children in darkness, and the children force them apart, one of them opposing the act and warring against his siblings afterwards. The present world exists because a generation acted against its parents.
The line between ancestor and god is deliberately continuous. Distinguished ancestors receive cult, and in Hawaii the aumakua are family gods who are also forebears.
These are living traditions. Some names and some knowledge are tapu and held by particular people, and the atlas does not repeat what is held.