Obstructions to the existence of monotone Lagrangian embeddings into cotangent bundles of manifolds fibered over the circle

Gadbled, Agnès

doi:10.5802/aif.2460

Obstructions to the existence of monotone Lagrangian embeddings into cotangent bundles of manifolds fibered over the circle
[Obstruction à l’existence de plongements lagrangiens monotones dans les fibrés cotangents de variétés fibrées au-dessus du cercle]

Gadbled, Agnès ¹

¹ Université Louis Pasteur Institut de recherche de mathématique avancée 7, rue René Descartes 67084 Strasbourg (France)

Annales de l'Institut Fourier, Tome 59 (2009) no. 3, pp. 1135-1175.

Résumé
Abstract

On étend des constructions et des résultats obtenus par Damian afin d’obtenir des obstructions topologiques à l’existence de plongements lagrangiens monotones dans le fibré cotangent d’un espace fibré sur le cercle.

We extend the constructions and results of Damian to get topological obstructions to the existence of closed monotone Lagrangian embeddings into the cotangent bundle of a space which is the total space of a fibration over the circle.

MR Zbl

DOI : 10.5802/aif.2460

Classification : 57R17, 57R58, 57R70, 53D12
Keywords: Lagrangian embeddings, Floer homology, Novikov homology.
Mot clés : plongements lagrangiens, homologie de Floer, homologie de Novikov

Affiliations des auteurs :

Gadbled, Agnès ¹

¹ Université Louis Pasteur Institut de recherche de mathématique avancée 7, rue René Descartes 67084 Strasbourg (France)

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     author = {Gadbled, Agn\`es},
     title = {Obstructions to the existence of monotone {Lagrangian} embeddings into cotangent bundles of manifolds fibered over the circle},
     journal = {Annales de l'Institut Fourier},
     pages = {1135--1175},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {59},
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     url = {http://www.numdam.org/articles/10.5802/aif.2460/}
}

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Gadbled, Agnès. Obstructions to the existence of monotone Lagrangian embeddings into cotangent bundles of manifolds fibered over the circle. Annales de l'Institut Fourier, Tome 59 (2009) no. 3, pp. 1135-1175. doi : 10.5802/aif.2460. http://www.numdam.org/articles/10.5802/aif.2460/

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