# Topological recursion on the Bessel curve

@article{Do2016TopologicalRO,
title={Topological recursion on the Bessel curve},
author={Norman Do and Paul T. Norbury},
journal={arXiv: Mathematical Physics},
year={2016}
}
• Published 9 August 2016
• Mathematics
• arXiv: Mathematical Physics
The Witten-Kontsevich theorem states that a certain generating function for intersection numbers on the moduli space of stable curves is a tau-function for the KdV integrable hierarchy. This generating function can be recovered via the topological recursion applied to the Airy curve $x=\frac{1}{2}y^2$. In this paper, we consider the topological recursion applied to the irregular spectral curve $xy^2=\frac{1}{2}$, which we call the Bessel curve. We prove that the associated partition function is…
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