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

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

2010-02-08

arxiv.org/abs/1002.1660v1

Mathematics

Symplectic Geometry

29 pages, submitted

Scientific paper

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.

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