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arXiv · 1908.00651

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

Dennis Borisov·Ludmil Katzarkov·Artan Sheshmani·Shing-Tung Yau
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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.

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Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani, Shing-Tung Yau. 2019-08-01. Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms. https://arxiv.org/abs/1908.00651

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