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

Autor:	Kim, Joontae
Rok vydání:	2020
Předmět:	Mathematics - Symplectic Geometry Mathematics - Geometric Topology 53D12 53D35 54H25
Druh dokumentu:	Working Paper
Popis:	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. Comment: 16 pages, various improvements, to appear in Math. Ann
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.04528 Zobrazit plný text záznamu View this record from Arxiv