Seidel's long exact sequence on Calabi-Yau manifolds

DOI10.1215/21562261-1299936zbMath1230.53079arXiv1002.1648OpenAlexW3100304451MaRDI QIDQ640829

Yong-Geun Oh

Publication date: 21 October 2011

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

Full work available at URL: https://arxiv.org/abs/1002.1648

zbMATH Keywords

Calabi-Yau manifoldsLagrangian submanifoldsFloer cohomologySeidel long exact sequence

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Symplectic aspects of Floer homology and cohomology (53D40) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items

Cone-decompositions of Lagrangian cobordisms in Lefschetz fibrations, Floer cohomology and pencils of quadrics, Homological mirror symmetry for the quintic 3-fold, A symplectic prolegomenon

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Floer trajectories with immersed nodes and scale-dependent gluing
• Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc
• Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group
• Fukaya categories and Picard-Lefschetz theory
• Pseudo holomorphic curves in symplectic manifolds
• Morse theory for Lagrangian intersections
• Arnold conjecture and Gromov-Witten invariant
• Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
• The Maslov index for paths
• Symplectic topology as the geometry of action functional. I: Relative Floer theory on the cotangent bundle
• A long exact sequence for symplectic Floer cohomology
• Lagrangian two-spheres can be symplectically knotted
• Anchored Lagrangian submanifolds and their Floer theory
• Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I
• Graded lagrangian submanifolds
• Homological Algebra of Mirror Symmetry
• K-area, Hofer metric and geometry of conjugacy classes in Lie groups.
• A mathematical theory of quantum cohomology