English

Lagrangian spheres in S^2 x S^2

Symplectic Geometry 2007-05-23 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.math/0311092,
  title  = {Lagrangian spheres in S^2 x S^2},
  author = {Richard Hind},
  journal= {arXiv preprint arXiv:math/0311092},
  year   = {2007}
}
R2 v1 2026-07-22T16:59:24.569Z