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

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

2012-01-12

arxiv.org/abs/1201.2446v1

Mathematics

Symplectic Geometry

20 pages, Submitted

Scientific paper

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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