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20222026
most citedAnosov flows and Liouville pairs in dimension three

3 citations · 3 across the 6 of their papers we have counts for

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math.SG2026

Taut foliations through a contact lens

Thomas Massoni

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…

math.SG2025

Topological invariance of Liouville structures for taut foliations and Anosov flows

Jonathan Bowden, Thomas Massoni

Building on the work of Eliashberg and Thurston, we associate to a taut foliation on a closed oriented -manifold a Liouville structure on the thickening , u…

math.SG2025

A symplectic viewpoint on Anosov flows

Thomas Massoni

This survey explores the geometry of three-dimensional Anosov flows from the perspective of contact and symplectic geometry, following the work of Mitsumatsu, Eliashberg-Thurston,…

math.SG2024

Taut foliations and contact pairs in dimension three

Thomas Massoni

We present a new construction of codimension-one foliations from pairs of contact structures in dimension three. This constitutes a converse result to a celebrated theorem of Elias…

math.SG2022

Floer theory of Anosov flows in dimension three

Kai Cieliebak, Oleg Lazarev, Thomas Massoni +1

A smooth Anosov flow on a closed oriented three manifold gives rise to a Liouville structure on the four manifold which is not Weinstein, by a construction of…

math.SG2022★ 3 cited

Anosov flows and Liouville pairs in dimension three

Thomas Massoni

Building upon the work of Mitsumatsu and Hozoori, we establish a complete homotopy correspondence between three-dimensional Anosov flows and certain pairs of contact forms that we…