@article{6b2cb8aabd024e3cb0a978979492ec02,
title = "The Maslov class of Lagrangian tori and quantum products in Floer cohomology",
abstract = "We use Floer cohomology to prove the monotone version of a conjecture of Audin: the minimal Maslov number of a monotone Lagrangian torus in ℝ 2n is 2. Our approach is based on the study of the quantum cup product on Floer cohomology and in particular the behavior of Oh's spectral sequence with respect to this product. As further applications, we prove existence of holomorphic disks with boundaries on Lagrangians as well as new results on Lagrangian intersections.",
keywords = "Audin conjecture, Floer cohomology, Lagrangian submanifold, Maslov index, Oh's spectral sequence, quantum cup product",
author = "Lev Buhovsky",
note = "Funding Information: I would like to thank my supervisor Paul Biran for his help and attention he gave to me. I am grateful to Felix Schlenk for his comments and help to improve the quality of the exposition. I am also grateful to Leonid Polterovich, Alex Ivri and Laurent Lazzarini for useful comments. This work was partially supported by the Israel Science Foundation (grant No. 1227/06*).",
year = "2010",
month = mar,
doi = "10.1142/S1793525310000240",
language = "אנגלית",
volume = "2",
pages = "57--75",
journal = "Journal of Topology and Analysis",
issn = "1793-5253",
publisher = "World Scientific",
number = "1",
}