The Arnoux-Yoccoz mapping classes via Penner's construction
Livio Liechti, Bal\'azs Strenner
TL;DR
This paper presents a novel description of Arnoux-Yoccoz mapping classes using a composition of Dehn twists and finite order elements, inspired by Penner's construction for small stretch factors.
Contribution
It introduces a new way to construct Arnoux-Yoccoz classes through a simplified product of Dehn twists and finite order elements, paralleling Penner's approach.
Findings
New description of Arnoux-Yoccoz classes as a product of Dehn twists and finite order elements.
Analogous construction to Penner's method for small stretch factors.
Provides insights into the structure of these mapping classes.
Abstract
We give a new description of the Arnoux-Yoccoz mapping classes as a product of two Dehn twists and a finite order element. The construction is analogous to Penner's construction of mapping classes with small stretch factors.
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