Abstract
We show that Galois conjugates of stretch factors of pseudo-Anosov mapping classes arising from Penner’s construction lie off the unit circle. As a consequence, we show that, for all but a few exceptional surfaces, there are examples of pseudo-Anosov mapping classes so that no power of them arises from Penner’s construction. This resolves a conjecture of Penner.
Citation
Hyunshik Shin. Balázs Strenner. "Pseudo-Anosov mapping classes not arising from Penner's construction." Geom. Topol. 19 (6) 3645 - 3656, 2015. https://doi.org/10.2140/gt.2015.19.3645
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