Homology of Lagrangian submanifolds in cotangent bundles

DOI10.1007/BF02803498zbMath1090.53063arXivmath/0312265MaRDI QIDQ1766470

Lev Buhovsky

Publication date: 7 March 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312265

zbMATH Keywords

spectral sequencespherecotangent bundleFloer homologyLagrangian submanifoldlens spaceLagrangian embeddingsymplectic topologyMaslov number

Mathematics Subject Classification ID

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

Related Items (10)

Obstructions to the existence of monotone Lagrangian embeddings into cotangent bundles of manifolds fibered over the circle ⋮ On homological rigidity and flexibility of exact Lagrangian endocobordisms ⋮ Symplectic topology of Lagrangian submanifolds of \(\mathbb{C}P^{n}\) with intermediate minimal Maslov numbers ⋮ Families of monotone symplectic manifolds constructed via symplectic cut and their Lagrangian submanifolds ⋮ Exact Lagrangian submanifolds in simply-connected cotangent bundles ⋮ The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint ⋮ Framed bordism and Lagrangian embeddings of exotic spheres ⋮ Rigidity and uniruling for Lagrangian submanifolds ⋮ Microlocal branes are constructible sheaves ⋮ A symplectic prolegomenon

Cites Work

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• A new obstruction to embedding Lagrangian tori
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• Morse theory for Lagrangian intersections
• Witten's complex and infinite dimensional Morse theory
• Lagrangian submanifolds and exact Lagrangians of cotangent bundles
• Holomorphic curves in symplectic geometry
• Lagrangian non-intersections
• Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I
• Graded lagrangian submanifolds

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