Correction to: Rel leaves of the Arnoux–Yoccoz surfaces

Abstract

Our arguments in §6 of the paper [3] contain an error. In this note we explain the error and how to fix it. We are grateful to Florent Ygouf for both pointing out the mistake, and for indicating the correct argument included below. All of the results stated in the introduction of the paper remain valid, as a consequence of the amended argument which will be given below. In the recent preprint [4], Ygouf proves related results about existence of dense rel leaves in other loci.