English

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

Symplectic Geometry 2015-03-04 v2

Abstract

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 \RRP2\RR P^2 is not a stem in \CCP2\CC P^2, answering a question of Entov and Polterovich.

Keywords

Cite

@article{arxiv.1201.2446,
  title  = {On an exotic Lagrangian torus in $\mathbb{C}P^2$},
  author = {Weiwei Wu},
  journal= {arXiv preprint arXiv:1201.2446},
  year   = {2015}
}

Comments

Largely modified on the second version. Comments welcome

R2 v1 2026-06-21T20:03:28.177Z