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Curiosités Lagrangiennes en dimension 4

Denis Sauvaget — 2004

Annales de l’institut Fourier

Dans ce texte, on définit, pour les immersions lagrangiennes de variétés fermées dans $ℂ^{n}$ , une notion d’aire symplectique enlacée. Puis on construit, dans le cas $n = 2$ , un certain nombre de surfaces lagrangiennes enlaçant une aire infinie. Dans le cas des surfaces exactes, elles ont le minimum de points doubles possible permis par la théorie (sauf la sphère), c’est-à-dire moins que prévu par quelques conjectures.

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