2020/03/10 by Joontae Kim, Kim, Joontae
Mathematics · #53D12 #53D35 #54H25 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2003.04528
openalex publication_date 2020/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove the Hamiltonian unknottedness of real Lagrangian tori in the monotone S2× S2, namely any real Lagrangian torus in S2× S2 is Hamiltonian isotopic to the Clifford torus \mathbbTClif. The proof is based on a neck-stretching argument, Gromov's foliation theorem, and the Cieliebak-Schwingenheuer criterion.