3 citations · 3 across the 6 of their papers we have counts for
7 papers
Ziggurats, taut foliations, and contact structures
Thomas Massoni, Jonathan Zung
We study the geography of taut foliations on compact -manifolds with toroidal boundary components. The central object of our work is the set of boundary multislopes realized by…
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…
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…
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,…
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…
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…
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…