一个定理的简单证明
A simple proof of a theorem of Fukaya and Oh
摘要：
研究边界映射在流形余切丛零截面上的伪点全纯圆盘的模空间。我们定义扰动的方程，它是可能的明确描述的所有解决方案的问题的Morse图的流形上。特别地，这证明了余切丛的零截面的$A_\infty$结构等价于基流形的Morse $A_\infty$结构。
英文摘要：
We study the moduli space of pseudo pointed holomorphic disks with boundaries mapped in the zero section of the cotangent bundle of a manifold. We define perturbations of the equation for which it is possible to describe explicitly all the solutions of the problem in terms of Morse graphs on the manifold. In particular, this proves that the $A_\infty$ structure of the zero section of the cotangent bundle is equivalent to the Morse $A_\infty$ structure of the base manifold.
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