A model for the parabolic slices Per_1(e^{2πi p/q}) in moduli space of quadratic rational maps

Details A model for the parabolic slices Per_1(e^{2πi p/q}) in moduli space of quadratic rational maps A model for the parabolic slices Per_1(e^{2πi p/q}) in moduli space of quadratic rational maps

2010-01-26

arxiv.org/abs/1001.4652v1

Mathematics

Dynamical Systems

6 pages, 1 pstex figure

Scientific paper

The notion of relatedness loci in the parabolic slices Per_1(e^{2\pi i p/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.

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