On the classification of critically fixed rational maps

Cordwell, Kristin; Gilbertson, Selina; Nuechterlein, Nicholas; Pilgrim, Kevin; Pinella, Samantha

doi:10.1090/S1088-4173-2015-00275-1

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., $f(c)=c$.

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