55 citations · 108 across the 6 of their papers we have counts for
4 papers · 1 filter
On the contact mapping class group of Legendrian circle bundles
Emmanuel Giroux, Patrick Massot
In this paper, we determine the group of contact transformations modulo contact isotopies for Legendrian circle bundles over closed surfaces of nonpositive Euler characteristic. Th…
On the stable equivalence of open books in three-manifolds
Emmanuel Giroux, Noah Goodman
We show that two open books in a given closed, oriented three-manifold admit isotopic stabilizations, where the stabilization is made by successive plumbings with Hopf bands, if an…
Notes on the isotopy finiteness
Vincent Colin, Emmanuel Giroux, Ko Honda
This is the less official, English version of the proof of the fact that every closed atoroidal 3-manifold carries finitely many isotopy classes of tight contact structures.
On the coarse classification of tight contact structures
Vincent Colin, Emmanuel Giroux, Ko Honda
We present a sketch of the proof of the following theorems: (1) Every 3-manifold has only finitely many homotopy classes of 2-plane fields which carry tight contact structures. (2)…