On the classification of critically fixed rational maps
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- by Kristin Cordwell, Selina Gilbertson, Nicholas Nuechterlein, Kevin M. Pilgrim and Samantha Pinella
- Conform. Geom. Dyn. 19 (2015), 51-94
- DOI: https://doi.org/10.1090/S1088-4173-2015-00275-1
- Published electronically: March 19, 2015
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Abstract:
We discuss the dynamical, topological, and algebraic classification of rational maps $f: \widehat {\mathbb {C}} \to \widehat {\mathbb {C}}$, each of whose critical points $c$ is also a fixed-point of $f$, i.e., $f(c)=c$.References
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Bibliographic Information
- Kristin Cordwell
- Affiliation: 360 W. 43rd St, Apt. S8E, New York, New York 10036
- Email: kcordwell@gmail.com
- Selina Gilbertson
- Affiliation: Department of Mathematics and Statistics, P.O. Box 5717, Northern Arizona University, Flagstaff, Arizona 86011
- Email: sjg74@nau.edu
- Nicholas Nuechterlein
- Affiliation: 711 Catherine St., Ann Arbor, Michigan 48104
- Email: nknuecht@umich.edu
- Kevin M. Pilgrim
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- MR Author ID: 614176
- Email: pilgrim@indiana.edu
- Samantha Pinella
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1043
- MR Author ID: 1080686
- Email: spinella@umich.edu
- Received by editor(s): September 12, 2013
- Published electronically: March 19, 2015
- © Copyright 2015 American Mathematical Society
- Journal: Conform. Geom. Dyn. 19 (2015), 51-94
- MSC (2010): Primary 37F20; Secondary 05C10, 57M12, 57M15, 20E08
- DOI: https://doi.org/10.1090/S1088-4173-2015-00275-1
- MathSciNet review: 3323420