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arXiv 1908.00651math.AGhep-thmath.DG
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带移位辛形式的导出方案上拉格朗日分布的严格化与粘合

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

Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani, Shing-Tung Yau

AI总结:

本文证明了配备负移位同伦闭2-形式的导出方案上各向同性分布的严格化结果,并表明配备-2-移位辛结构且具有Hausdorff经典点空间的C上导出方案可全局定义拉格朗日分布。

摘要:

证明了配备负移位同伦闭$2$-形式的导出方案上各向同性分布的严格化结果。表明任何配备$-2$-移位辛结构且具有Hausdorff经典点空间的$\mathbb{C}$上导出方案,作为dg $\mathbb{C}^{\infty}$-流形允许全局定义的拉格朗日分布。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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