55 citations · 108 across the 6 of their papers we have counts for
9 papers
From Morse Functions to Lefschetz Fibrations on Cotangent Bundles
Emmanuel Giroux
We prove that, for any Morse function on a compact manifold and any adapted gradient satisfying the Morse-Smale condition, there is a homotopically unique complex-valued symplectic…
Remarks on Donaldson's symplectic submanifolds
Emmanuel Giroux
This paper presents a few remarks about the topology of symplectic hyperplane sections and the geometry of their complements. In particular, it contains a detailed proof of the fol…
Ideal Liouville Domains - a cool gadget
Emmanuel Giroux
Liouville domains have become central objects in symplectic and contact geometry. However, the auxiliary data they involve --- namely, Liouville forms --- and the non-compactness o…
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…
Existence of Lefschetz fibrations on Stein and Weinstein domains
Emmanuel Giroux, John Pardon
We show that every Stein or Weinstein domain may be presented (up to deformation) as a Lefschetz fibration over the disk. The proof is an application of Donaldson's quantitative tr…
Finitude homotopique et isotopique des structures de contact tendues
Vincent Colin, Emmanuel Giroux, Ko Honda
Let V be a closed 3-manifold. In this paper we prove that the homotopy classes of plane fields on V that contain tight contact structures are in finite number and that, if V is ato…