论文标题
$ x-y $交换拓扑递归的通用公式
A universal formula for the $x-y$ swap in topological recursion
论文作者
论文摘要
我们证明了Borot等人最近的猜想。特定的通用封闭代数公式在输入数据中交换$ x $和$ y $后，恢复了拓扑递归的相关差。我们还表明，这种通用公式可以大大简化（因为Hock已经完成了）。 作为此一般$ x-y $互换结果的应用，我们证明了对于任何光谱曲线的情况下，拓扑递归差异的明确封闭公式，该曲线具有未造成的$ y $和任意有理$ x $的情况。
We prove a recent conjecture of Borot et al. that a particular universal closed algebraic formula recovers the correlation differentials of topological recursion after the swap of $x$ and $y$ in the input data. We also show that this universal formula can be drastically simplified (as it was already done by Hock). As an application of this general $x-y$ swap result, we prove an explicit closed formula for the topological recursion differentials for the case of any spectral curve with unramified $y$ and arbitrary rational $x$.
