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The derived moduli stack of shifted symplectic structures. (arXiv:1706.08369v1 [math.AG])
来源于:arXiv
We introduce and study the derived moduli stack $\mathrm{Symp}(X,n)$ of
$n$-shifted symplectic structures on a given derived stack $X$, as introduced
by [PTVV] (IHES Vol. 117, 2013). In particular, under reasonable assumptions on
$X$, we prove that $\mathrm{Symp}(X, n)$ carries a canonical shifted quadratic
form. This generalizes a classical result of Fricke and Habermann, which was
established in the $C^{\infty}$-setting, to the broader context of derived
algebraic geometry, thus proving a conjecture stated by Vezzosi. 查看全文>>