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arXiv · 2003.04528

Unknottedness of real Lagrangian tori in $S^2\times S^2$

Joontae Kim
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Abstract

We prove the Hamiltonian unknottedness of real Lagrangian tori in the monotone $S^2\times S^2$, namely any real Lagrangian torus in $S^2\times S^2$ is Hamiltonian isotopic to the Clifford torus $\mathbb{T}_{\text{Clif}}$. The proof is based on a neck-stretching argument, Gromov's foliation theorem, and the Cieliebak-Schwingenheuer criterion.

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Joontae Kim. 2020-03-10. Unknottedness of real Lagrangian tori in $S^2\times S^2$. https://arxiv.org/abs/2003.04528

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