4 citations · 7 across the 3 of their papers we have counts for
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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…
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…