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Denis Sauvaget
Curiosités Lagrangiennes en dimension 4
(Lagrangian curiosities in dimension 4)
Annales de l'institut Fourier, 54 no. 6 (2004), p. 1997-2020, doi: 10.5802/aif.2073
Article PDF | Reviews MR 2134231 | Zbl 1071.53046
Class. Math.: 58F05, 53C15, 57R52, 57R95
Keywords: Lagrangian, double points, link

Résumé - Abstract

In this paper we define, for lagrangian immersions of closed manifolds in ${\Bbb C}^n$, a notion of linked symplectic area. Then we construct, in the case $n=2$, a number of lagrangian surfaces linking an infinite area. In the case of exact surfaces, they have the minimal possible number of double points authorised by theory (except the sphere), i.e. less than expected in some conjectures.

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