arXiv Analytics

Sign in

arXiv:1507.01096 [math.DS]AbstractReferencesReviewsResources

On Net Maps: Examples and Nonexistence Results

Edgar A. Saenz

Published 2015-07-04Version 1

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

Comments: 20 pages, 2 figures
Categories: math.DS
Subjects: 37F10, 37F20
Related articles: Most relevant | Search more
arXiv:2102.12402 [math.DS] (Published 2021-02-24)
On the pullback relation on curves induced by a Thurston map
arXiv:1703.03983 [math.DS] (Published 2017-03-11)
Modular groups, Hurwitz classes and dynamic portraits of NET maps
arXiv:1212.2672 [math.DS] (Published 2012-12-11)
Boundary Values of the Thurston Pullback Map

Links

Toolbox