穿孔圆盘上的导出几何与非线性微分方程
Derived Geometry and Non-Linear Differential Equations on the Punctured Disc
摘要：
研究了穿孔形式圆盘上的非线性微分方程，考虑了其解空间的自然导出增强。特别是，通过呼吁变分法中的逆理论的结果，我们表明，微分方程的变分公式是\emph{equivalent}的剩余配对诱导的（-1）-辛形式的导出空间的解决方案配备了一定的装饰其切线复杂。
英文摘要：
We study non-linear differential equations on the punctured formal disc by considering the natural derived enhancements of their spaces of solutions. In particular, by appealing to results of the inverse theory in the calculus of variations, we show that a variational formulation of a differential equation is \emph{equivalent} to the residue pairing inducing a (-1)-symplectic form on the derived space of solutions equipped with a certain decoration of its tangent complex.
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