Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms

Published 1 Aug 2019 in math.AG, hep-th, and math.DG | (1908.00651v3)

Abstract: 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 $\mathbb{C}$ equipped with a $-2$-shifted symplectic structure, and having a Hausdorff space of classical points, admits a globally defined Lagrangian distribution as a dg $\mathbb{C}^{{\infty}$-manifold.}