| TITLE |
Uniqueness of Real Lagrangians up to Cobordism |
| KIAS AUTHORS |
Kim, Joontae,Kim, Joontae |
| JOURNAL |
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021 |
| ARCHIVE |
doi:10.1093/imrn/rnz345
|
| ABSTRACT |
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. |
