On an exotic Lagrangian torus in $\mathbb{C}P^2$

preprint2013arXivOpen access

We find a non-displaceable Lagrangian torus fiber in a semi-toric system, which is superheavy with respect to certain symplectic quasi-state. In particular, this proves Lagrangian $\RR P^2$ is not a stem in $\CC P^2$, answering a question of Entov and Polterovich.

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On an exotic Lagrangian torus in $\mathbb{C}P^2$

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On an exotic Lagrangian torus in CP2\mathbb{C}P^2CP2

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On an exotic Lagrangian torus in $\mathbb{C}P^2$