Work

Constructing Birkhoff sections for pseudo-Anosov flows with controlled complexity

Year: 2023

Type: article

Abstract: We introduce a new method of constructing Birkhoff sections for pseudo-Anosov flows, which uses the connection between pseudo-Anosov flows and veering triangulations. This method allows for explicit constructions, as well as control over the Birkhoff section in terms of its Euler characteristic and the complexity of the boundary orbits. In particular, we show that any transitive pseudo-Anosov flow has a Birkhoff section with two boundary components.

Source: Ergodic Theory and Dynamical Systems

DOI: 10.1017/etds.2023.105

Author: CHI CHEUK TSANG

Institution: University of California, Berkeley

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,255

OpenAlex ID: W4388658936