The Arnoux-Yoccoz mapping classes via Penner's construction

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.

arXiv comment9 figures, 13 pages

References in corpus (3)

• Algebraic degrees of pseudo-Anosov stretch factors
• Geometric representation of interval exchange maps over algebraic number fields
• Problems, Questions, and Conjectures about Mapping Class Groups

Cited by in corpus (2)

• Problems, Questions, and Conjectures about Mapping Class Groups
• Golden ratio on nonorientable surfaces