The notion of relatedness loci in the parabolic slices Per1(e2πip/q) in moduli space of quadratic rational maps is introduced. They are counterparts of the disconnectedness or escape locus in the slice of quadratic polynomials. A model for these loci is presented, and a strategy of proof of the faithfulness of the model is given.
Academie Des Sciences. Comptes Rendus. Mathematique, 2010, Vol 348, Issue 23-24, p. 1327-1330