International Mathematics Research Notices ( IF 1.452 ) Pub Date : 2020-01-08 , DOI: 10.1093/imrn/rnz345
Kim J.

We prove that a real Lagrangian submanifold in a closed symplectic manifold is unique up to cobordism. We then discuss the classification of real Lagrangians in ${\mathbb{C}} P^2$ and $S^2\times S^2$. In particular, we show that a real Lagrangian in ${\mathbb{C}} P^2$ is unique up to Hamiltonian isotopy and that a real Lagrangian in $S^2\times S^2$ is either Hamiltonian isotopic to the antidiagonal sphere or Lagrangian isotopic to the Clifford torus.

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