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- École Normale Supérieure de LyonFR12 papers
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4 papers · 1 filter
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…
Effective classes and Lagrangian tori in symplectic four-manifolds
Jean-Yves Welschinger
An effective class in a closed symplectic four-manifold is a two-dimensional homology class which is realized by a -holomorphic cycle for every tamed almost complex str…
Towards relative invariants of real symplectic 4-manifolds
Jean-Yves Welschinger
Let be a real symplectic 4-manifold with real part . Let be a smooth curve such that . We construct invariants un…
Invariants of real symplectic 4-manifolds out of reducible and cuspidal curves
Jean-Yves Welschinger
We construct invariants under deformation of real symplectic 4-manifolds. These invariants are obtained by counting three different kinds of real rational J-holomorphic curves whic…