PreprintCC BY-NC-ND 4.0HAL
A characterization of pseudo-Anosov orbit spaces via bifoliated planes
Abstract
We characterize the actions on bifoliated planes that arise as orbits spaces of transitive pseudo-Anosov flows on orientable closed 3-manifold. We use branched covers, veering triangulations, and a new compactness criterion to extend previous work that handled the special case where the plane has no odd-prong singularities and the action preserves a leafwise orientation on the foliations.
Related
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- Pseudo-Anosov flow and dynamics on guts
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BibTeX
@misc{mann2026characterization,
title = {{A characterization of pseudo-Anosov orbit spaces via bifoliated planes}},
author = {Kathryn Mann and Samuel J Taylor},
howpublished = {HAL},
year = {2026},
month = jun,
eprint = {2606.16588},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05837407v1},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - A characterization of pseudo-Anosov orbit spaces via bifoliated planes
AU - Kathryn Mann
AU - Samuel J Taylor
PY - 2026
DA - 2026/06/15
PB - HAL
UR - https://hal.science/hal-05837407v1
AB - We characterize the actions on bifoliated planes that arise as orbits spaces of transitive pseudo-Anosov flows on orientable closed 3-manifold. We use branched covers, veering triangulations, and a new compactness criterion to extend previous work that handled the special case where the plane has no odd-prong singularities and the action preserves a leafwise orientation on the foliations.
ER -