Toric degeneration and non-displaceable Lagrangian tori in $S^2\times S^2$

Abstract

In this article, using the idea of toric degeneration and the computation of the full potential function of Hirzebruch surface $F_2$, which is \emph{not} Fano, we produce a continuum of Lagrangian tori in $S^2\times S^2$ which are non-displaceable under the Hamiltonian isotopy.

29 pages, submitted

References in corpus (2)

• Non-displaceable Lagrangian submanifolds and Floer cohomology with non-unitary line bundle
• Toric degenerations of Gelfand-Cetlin systems and potential functions

Cited by in corpus (5)

• Symplectic quasi-states on the quadric surface and Lagrangian submanifolds
• Lagrangian Floer theory on compact toric manifolds: survey
• A relation for Gromov-Witten invariants of local Calabi-Yau threefolds
• Displacement of polydisks and Lagrangian Floer theory
• Notes on monotone Lagrangian twist tori