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

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 $S^2\times S^2$.

arXiv comment22 pages, 1 figure

References in corpus (4)

• Rigid subsets of symplectic manifolds
• A non-displacable Lagrangian torus in T^*S^2
• Symplectic quasi-states on the quadric surface and Lagrangian submanifolds
• Singular polarizations and symplectic embeddings