2024/09/12 by Vivek Shende, Shende, Vivek
Mathematics · Engineering · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Control and Dynamics of Mobile Robots
paper · pdf · doi:10.48550/arxiv.2409.08261
The central fiber of a Gross-Siebert type toric degeneration is known to satisfy homological mirror symmetry: its category of coherent sheaves is equivalent to the wrapped Fukaya category of a certain exact symplectic manifold. Here we show that, in the Calabi-Yau case, the images of line bundles are represented by Lagrangian spheres.