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arXiv · 1002.1660

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

Kenji Fukaya·Yong Geun Oh·Hiroshi Ohta·Kaoru Ono
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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.

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Kenji Fukaya, Yong Geun Oh, Hiroshi Ohta, Kaoru Ono. 2010-02-08. Toric degeneration and non-displaceable Lagrangian tori in $S^2 \times S^2$. https://arxiv.org/abs/1002.1660

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