1 results
On an exotic Lagrangian torus in
$\mathbb{C}P^{2}$
- Part of
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- Journal:
- Compositio Mathematica / Volume 151 / Issue 7 / July 2015
- Published online by Cambridge University Press:
- 27 February 2015, pp. 1372-1394
- Print publication:
- July 2015
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- Article
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- You have access
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We find a non-displaceable Lagrangian torus fiber in a semi-toric system which is superheavy with respect to a certain symplectic quasi-state. The proof employs both 4-dimensional techniques and those from symplectic field theory. In particular, our result implies Lagrangian
$\mathbb{R}P^{2}$ is not a stem in 
$\mathbb{C}P^{2}$, answering a question of Entov and Polterovich.
