2024/12/20 by Han Lou, Lou, Han
Mathematics · Engineering · #Algebraic and Geometric Analysis #Geometric Analysis and Curvature Flows #Elasticity and Wave Propagation
paper · pdf · doi:10.48550/arxiv.2412.16356
In [FOOO12], K. Fukaya, Y. Oh, H. Ohta, and K. Ono (FOOO) obtained the monotone symplectic manifold S2× S2 by resolving the singularity of a toric degeneration of a Hirzebruch surface. They identified a continuum of toric fibers in the resolved toric degeneration that are not Hamiltonian isotopic to the toric fibers of the standard toric structure on S2× S2. In this paper, we provide a comprehensive classification: for any toric fiber in FOOO's construction of S2× S2, we determine whether it is Hamiltonian isotopic to a toric fiber of the standard toric structure of S2× S2.