Recent Developments in Noncommutative Algebraic Geometry: "Moduli of complexes, shifted Poisson structure and positroid varieties"

April 9, 2024
  • 14A22
We establish a link between open positroid varieties and moduli space of complexes of vector bundles on Kodaira cycles via the shifted Poisson structure. Using this link we solve a classification problem of extension of vector bundles over Kodaira cycle. Based on this solution we further classify the symplectic leaves of all positroid varieties with respect to the standard Poisson structure.