Lagrangian spheres in S² x S²

2003/11/06 by Richard Hind, Hind, Richard · 2 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #math.SG #msc:53D12

paper · pdf · doi:10.48550/arxiv.math/0311092

arxiv created 2003/11/06 · arxiv updated 2009/12/01

Abstract

We prove that all Lagrangian spheres in S² x S² 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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