## Global shifted potentials for moduli spaces of sheaves on CY4

Publikation: Working paper/Preprint Working paperForskning

### Dokumenter

• 1908.00651v1

Forlagets udgivne version, 364 KB, PDF-dokument

• Dennis Borisov, Harvard University
• ,
• Artan Sheshmani, Higher School of Economics, Harvard University
• ,
• Shing-Tung Yau, Harvard University, USA
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. The main tool for proving this theorem is a strictification result for Lagrangian distribution. It is shown that existence of a global Lagrangian distribution allows us to realize the moduli space of sheaves on Calabi-Yau fourfolds as a derived critical locus of a potential of degree $-1$ on the moduli space of $Spin(7)$ instantons.
Originalsprog Engelsk ArXiv Udgivet - 1 aug. 2019

### Forskningsområder

• math.AG, hep-th, math.DG

Citationsformater

ID: 176974216