Stratification and coordinate systems for the moduli space of rational functions

Details Stratification and coordinate systems for the moduli space of rational functions Stratification and coordinate systems for the moduli space of rational functions

2009-08-03

arxiv.org/abs/0908.0172v1

Conform. Geom. Dyn. 14 (2010) 141--153

Mathematics

Complex Variables

14 pages

Scientific paper

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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