On the classification of critically fixed rational maps-Reference-Cited by-同舟云学术

On the classification of critically fixed rational maps

Published:2015-03-19 Issue:4 Volume:19 Page:51-94
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

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

Abstract

We discuss the dynamical, topological, and algebraic classification of rational maps f : C ^ → C ^ f: \widehat {\mathbb {C}} \to \widehat {\mathbb {C}} , each of whose critical points c c is also a fixed-point of f f , i.e., f ( c ) = c f(c)=c .

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/2015-19-04/S1088-4173-2015-00275-1/S1088-4173-2015-00275-1.pdf

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