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.
Keywords: Lagrangian embeddings, Floer homology, Novikov homology.
Mots-clés : plongements lagrangiens, homologie de Floer, homologie de Novikov
Gadbled, Agnès  1
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
@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},
year = {2009},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {59},
number = {3},
doi = {10.5802/aif.2460},
mrnumber = {2543665},
zbl = {1186.57019},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2460/}
}
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