PreprintCC BY 4.0arXiv
Taut foliations through a contact lens
Abstract
This survey explores the rich interplay between (taut) foliations and (tight) contact structures in dimension three, highlighting recent work of the author. We outline a new method for constructing taut foliations from suitable pairs of contact structures, and discuss some applications and future research directions. In particular, we give a brief account of work in progress with Jonathan Zung on ziggurats for taut foliations transverse to pseudo-Anosov flows, and we propose a (mostly speculative) contact perspective on the L-space conjecture.
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BibTeX
@misc{massoni2026taut,
title = {{Taut foliations through a contact lens}},
author = {Thomas Massoni},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29989},
eprint = {2608.29989},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29989},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Taut foliations through a contact lens
AU - Thomas Massoni
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.29989
UR - https://arxiv.org/abs/2608.29989
AB - This survey explores the rich interplay between (taut) foliations and (tight) contact structures in dimension three, highlighting recent work of the author. We outline a new method for constructing taut foliations from suitable pairs of contact structures, and discuss some applications and future research directions. In particular, we give a brief account of work in progress with Jonathan Zung on ziggurats for taut foliations transverse to pseudo-Anosov flows, and we propose a (mostly speculative) contact perspective on the L-space conjecture.
ER -