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Fall 2016
It has been proven in other sources that spectral curves, $(\Sigma,x,y)$, where $\Sigma$ is a compact Riemann surface, and meromophic functions $x$ and $y$ satisfy a polynomial equation (and subject to certain admissibility conditions), can be used with the topological recursion to construct the...
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Fall 2022
The topological recursion is a construction in algebraic geometry that takes in the data of a so-called spectral curve, $\mathcal{S}=\left(\Sigma,x,y\right)$ where $\Sigma$ is a Riemann surface and $x,y:\Sigma\to\mathbb{C}_\infty$ are meromorphic, and recursively constructs correlators which, in...