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arXiv · 2104.05814

Entropy of real rational surface automorphisms: Actions on the Fundamental Groups

Kyounghee Kim·Eric P. Klassen
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Abstract

This article discusses a method to compute the induced action on the fundamental group of a real rational surface and provides the induced actions for basic quadratic real automorphisms. Using an invariant set in the fundamental group, we introduce a method to estimate a lower bound of the action's growth rate on the fundamental group. The growth rate of this induced action gives a lower bound for the entropy of real surface automorphism.

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Kyounghee Kim, Eric P. Klassen. 2021-04-12. Entropy of real rational surface automorphisms: Actions on the Fundamental Groups. https://arxiv.org/abs/2104.05814

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