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

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 2543665 | Zbl 1186.57019

DOI : https://doi.org/10.5802/aif.2460
Classification : 57R17, 57R58, 57R70, 53D12
Mots clés : plongements lagrangiens, homologie de Floer, homologie de Novikov

@article{AIF_2009__59_3_1135_0,
     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'institut Fourier},
     volume = {59},
     number = {3},
     year = {2009},
     doi = {10.5802/aif.2460},
     mrnumber = {2543665},
     zbl = {1186.57019},
     language = {en},
     url = {www.numdam.org/item/AIF_2009__59_3_1135_0/}
}

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/item/AIF_2009__59_3_1135_0/

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