Constraints on exact Lagrangians in cotangent bundles of manifolds fibered over the circle

DOI10.4171/CMH/178zbMath1190.57017arXiv0710.0511MaRDI QIDQ843196

Mihai Damian

Publication date: 29 September 2009

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0511

zbMATH Keywords

dynamicsFloer homologyLagrangian embeddingsNovikov homologyMolino structure theoryrigid classesvariable classes

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Characteristic classes and numbers in differential topology (57R20) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58)

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Obstructions to the existence of monotone Lagrangian embeddings into cotangent bundles of manifolds fibered over the circle, Floer-Novikov homology and applications to Lagrangian submanifolds, Nearby Lagrangians with vanishing Maslov class are homotopy equivalent