How to (symplectically) thread the eye of a (Lagrangian) needle

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We show that there exists no Lagrangian embeddings of the Klein bottle into $\CC^{2}$. Using the same techniques we also give a new proof that any Lagrangian torus in $\CC^2$ is smoothly isotopic to the Clifford torus.
revised version, 15 pages, no figures, easier proof, clearer structured

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Symplectic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/61674

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106139
 http://arxiv.org/abs/math/0106139

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arXiv