Uniqueness of Real Lagrangians up to Cobordism

초록

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 CP2 and S-2 x S-2. In particular, we show that a real Lagrangian in CP2 is unique up to Hamiltonian isotopy and that a real Lagrangian in S-2 x S-2 is either Hamiltonian isotopic to the antidiagonal sphere or Lagrangian isotopic to the Clifford torus.

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