Notes on monotone Lagrangian twist tori

Abstract

We construct monotone Lagrangian tori in the standard symplectic vector space, in the complex projective space and in products of spheres. We explain how to classify these Lagrangian tori up to symplectomorphism and Hamiltonian isotopy, and how to show that they are not displaceable by Hamiltonian isotopies.

18 pages, 12 figures

References in corpus (2)

• Mirror symmetry and T-duality in the complement of an anticanonical divisor
• Toric degeneration and non-displaceable Lagrangian tori in $S^2\times S^2$