2021/09/03 by Yoosik Kim, Kim, Yoosik
Biochemistry, Genetics and Molecular Biology · Mathematics · #Cellular transport and secretion #FOS: Mathematics #Geometric and Algebraic Topology #Hippo pathway signaling and YAP/TAZ #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2109.01435
openalex publication_date 2021/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Chekanov torus was the first known exotic torus, a monotone Lagrangian torus that is not Hamiltonian isotopic to the standard monotone Lagrangian torus. We explore the relationship between the Chekanov torus in S2 × S2 and a monotone Lagrangian torus which had been introduced before Chekanov's construction \citeChekanov. We prove that the monotone Lagrangian torus fiber in a certain Gelfand--Zeitlin system is Hamiltonian isotopic to the Chekanov torus in S2 × S2.