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arXiv · 1507.01096

On Net Maps: Examples and Nonexistence Results

Edgar A. Saenz
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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

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Edgar A. Saenz. 2015-07-04. On Net Maps: Examples and Nonexistence Results. https://arxiv.org/abs/1507.01096

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