On Net Maps: Examples and Nonexistence Results
Dynamical Systems
2015-07-07 v1
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
Cite
@article{arxiv.1507.01096,
title = {On Net Maps: Examples and Nonexistence Results},
author = {Edgar A. Saenz},
journal= {arXiv preprint arXiv:1507.01096},
year = {2015}
}
Comments
20 pages, 2 figures