Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor
Eriko Hironaka
Florida State University, Tallahassee, USAChi Cheuk Tsang
University of California, Berkeley, USA
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Abstract
We show that given a fully punctured pseudo-Anosov map whose punctures lie in at least two orbits under the action of , the expansion factor satisfies the inequality
where is the golden ratio. The proof involves a study of standardly embedded train tracks, and the Thurston symplectic form defined on their weight space.
Cite this article
Eriko Hironaka, Chi Cheuk Tsang, Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor. Groups Geom. Dyn. (2024), published online first
DOI 10.4171/GGD/805