{ "id": "1001.4652", "version": "v1", "published": "2010-01-26T11:14:56.000Z", "updated": "2010-01-26T11:14:56.000Z", "title": "A model for the parabolic slices Per_1(e^{2πi p/q}) in moduli space of quadratic rational maps", "authors": [ "Eva Uhre" ], "comment": "6 pages, 1 pstex figure", "categories": [ "math.DS" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2010-01-26T11:14:56.000Z" } ], "analyses": { "subjects": [ "37F45", "37F10" ], "keywords": [ "quadratic rational maps", "moduli space", "parabolic slices", "relatedness loci", "escape locus" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }