On Net Maps: Examples and Nonexistence Results

2015/07/04 by Saenz, Edgar A. · 1 citation
#37F10 #37F20 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1507.01096

Abstract

A Thurston map is called nearly Euclidean if its local degree at each critical point is 2 and it has exactly four postcritical points. Nearly Euclidean Thurston (NET) maps are simple generalizations of rational Lattes maps. We investigate when such a map has the property that the associated pullback map on Teichmuller space is constant. We also show that no Thurston map of degree 2 has constant pullback map

Cited by

• Rational maps with constant Thurston pullback mapping

Related

• Nearly Euclidean Thurston maps
• Presentations of NET maps
• Finite and infinite degree Thurston maps with a small postsingular set
• Rational maps with constant Thurston pullback mapping
• Modular groups, Hurwitz classes and dynamic portraits of NET maps