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

Gadbled, Agnès

doi:10.5802/aif.2460

Gadbled, Agnès

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

Abstract
Résumé

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.

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.

MR 2543665 | Zbl 1186.57019

DOI : https://doi.org/10.5802/aif.2460
Classification: 57R17, 57R58, 57R70, 53D12
Keywords: Lagrangian embeddings, Floer homology, Novikov homology.

@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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {59},
     number = {3},
     year = {2009},
     pages = {1135-1175},
     doi = {10.5802/aif.2460},
     mrnumber = {2543665},
     zbl = {1186.57019},
     language = {en},
     url = {http://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, Volume 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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