Simultaneous universal circles

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.

Authors

Institutions

Publication Details

Journal
Journal of Topology
Published
2025-12-31
DOI
https://doi.org/10.1112/topo.70054
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Simultaneous universal circles

Samuel J. Taylor, Michael P. Landry, Yair N. Minsky
Journal of Topology
Mathematical Dynamics and Fractals
article

Simultaneous universal circles

Samuel J. Taylor, Michael P. Landry, Yair N. Minsky
article en

Abstract

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.

Journal of TopologyVol. 19(1)
University of Missouri–St. Louis (US), Yale University (US), Saint Louis University (US), Temple University (US)
Openalex Percentile: Top 20%
Mathematical Dynamics and Fractals
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.