Abstract
In order to deform a Lagrangian submanifold in Cn, we must understand how a tubular neighbourhood looks like. We prove here that a Lagrangian submanifold has a neighbourhood which is diffeomorphic to a neighbourhood of the zero section in its cotangent bundle. To be precise and explicit, we need to define a symplectic structure on the cotangent bundles and more generally to say what a symplectic structure on a manifold isKeywordsModulus SpaceSymplectic FormSymplectic ManifoldCotangent BundleLagrangian SubmanifoldsThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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