On exotic monotone Lagrangian tori in $\mathbb{C}P^2$ and $S^2 \times S^2$

Agnes Gadbled

On exotic monotone Lagrangian tori in $\mathbb{C}P^2$ and $S^2 \times S^2$

Symplectic Geometry 2011-03-18 v1

Authors: Agnes Gadbled

Abstract

In this note, we prove that two constructions of exotic monotone Lagrangian tori, namely the one by Chekanov and Schlenk and the one obtained by the circle bundle construction of Biran are Hamiltonian isotopic in $\mathbb{C}P^2$ and $S^2 \times S^2$ .

Keywords

exotic monotone Lagrangian tori Hamiltonian isotopy Chekanov-Schlenk construction Biran circle bundle construction complex projective plane product of spheres

Cite

@article{arxiv.1103.3487,
  title  = {On exotic monotone Lagrangian tori in $\mathbb{C}P^2$ and $S^2 \times S^2$},
  author = {Agnes Gadbled},
  journal= {arXiv preprint arXiv:1103.3487},
  year   = {2011}
}

Comments

22 pages, 1 figure

Related papers

View all related →