Abstract:In this note, we give a new simple system of global parameters on the moduli space of rational functions, and clarify the relation to the parameters indicating location of fixed points and the indices at them. As a byproduct, we solve a conjecture of Milnor affirmatively.
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- Masayo Fujimura
- Affiliation: Department of Mathematics, National Defense Academy, Yokosuka 239-8686, Japan
- Email: firstname.lastname@example.org
- Masahiko Taniguchi
- Affiliation: Department of Mathematics, Nara Women’s University, Nara 630-8506, Japan
- MR Author ID: 192108
- Email: email@example.com
- Received by editor(s): August 17, 2009
- Published electronically: May 5, 2010
- Additional Notes: The second author is partially supported by Grant-in-Aid for Scientific Research (C) 19540181.
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
- Journal: Conform. Geom. Dyn. 14 (2010), 141-153
- MSC (2010): Primary 30C15; Secondary 37F10
- DOI: https://doi.org/10.1090/S1088-4173-10-00207-9
- MathSciNet review: 2644836