Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms
A strictification result is proved for isotropic distributions on derived schemes equipped with negatively shifted homotopically closed 2-forms. It is shown that any derived scheme over C equipped with a ́2-shifted symplectic structure, and having a Hausdorff space of classical points, admits a globally defined Lagrangian distribution as a dg C8-manifold. MSC codes: 14A20, 14N35, 14J35, 14F05, 55N22, 53D30