Lagrangian spheres in S² x S²
classification
🧮 math.SG
math.DG
keywords
lagrangianspheressymplecticconnectioncurvescylindricaldevelopedends
read the original abstract
We prove that all Lagrangian spheres in S^2 x S^2 are Hamiltonian isotopic. The proof uses various properties of holomorphic curves in symplectic manifolds with cylindrical ends which were recently developed in connection with the Symplectic Field Theory.
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