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arXiv 2106.09002math.COmath-phmath.MP
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从纤毛地图到全简单地图的拓扑递归

Topological recursion for fully simple maps from ciliated maps

Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde

AI总结:

本文利用纤毛地图的拓扑递归,证明了具有非自交不相交边界的全简单地图对交换谱曲线$(y, x)$满足拓扑递归的猜想。

摘要:

普通地图对于某谱曲线$(x, y)$满足拓扑递归。我们利用纤毛地图的拓扑递归(arXiv:2105.08035),解决了arXiv:1710.07851中的猜想,即具有非自交不相交边界的全简单地图对交换谱曲线$(y, x)$满足拓扑递归。

英文摘要:

Ordinary maps satisfy topological recursion for a certain spectral curve $(x, y)$. We solve a conjecture from arXiv:1710.07851 that claims that fully simple maps, which are maps with non self-intersecting disjoint boundaries, satisfy topological recursion for the exchanged spectral curve $(y, x)$, making use of the topological recursion for ciliated maps arXiv:2105.08035.

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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