Work

Simultaneous universal circles

Year: 2025

Type: article

Abstract: Let be a pseudo‐Anosov flow on a closed oriented atoroidal 3‐manifold . We show that if is any taut foliation almost transverse to , then the action of on the boundary of the flow space, together with a natural collection of explicitly described monotone maps, defines a universal circle for in the sense of Thurston and Calegari–Dunfield.

Source: Journal of Topology

DOI: 10.1112/topo.70054

Authors: Michael P. Landry, Yair N. Minsky, Samuel J. Taylor

Institutions: Saint Louis University, Yale University, Temple University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Simons Foundation

Awards: Toward a dynamical theory of Thurston's norm, Deformation, topology and geometry in low dimensions, Topology and Geometry from 3-Manifolds to Free Groups