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arxiv: 1002.1660 · v1 · submitted 2010-02-08 · 🧮 math.SG

Toric degeneration and non-displaceable Lagrangian tori in S² times S²

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keywords degenerationlagrangiannon-displaceabletimestoritoricarticlecomputation
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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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