Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor

  • Eriko Hironaka

    Florida State University, Tallahassee, USA
  • Chi Cheuk Tsang

    University of California, Berkeley, USA
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor cover
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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