The choreographer
Since no choreography can, or should be fully set (and if it is, it's no longer a choreography anyway, as the true nature of choreography is that of a living system), it can happen only in the presence of a choreographer. Whenever the choreographer isn't present, the choreographic process ceases to exist eventually. The work becomes something else, remotely related to what it was when a living thing.
The entire logic of dance repertory is based upon the idea that choreography can be fixated, and it is for this reason, that it is deeply harmful to the art form.