• Corpus ID: 211011339

# Double Hurwitz numbers: polynomiality, topological recursion and intersection theory

```@article{Borot2020DoubleHN,
title={Double Hurwitz numbers: polynomiality, topological recursion and intersection theory},
author={Gaetan Borot and Norman Do and Maksim Karev and Danilo Lewa'nski and Ellena Moskovsky},
journal={arXiv: Algebraic Geometry},
year={2020}
}```
• Published 31 January 2020
• Mathematics
• arXiv: Algebraic Geometry
Double Hurwitz numbers enumerate branched covers of \$\mathbb{CP}^1\$ with prescribed ramification over two points and simple ramification elsewhere. In contrast to the single case, their underlying geometry is not well understood. In previous work by the second- and third-named authors, the double Hurwitz numbers were conjectured to satisfy a polynomiality structure and to be governed by the topological recursion, analogous to existing results concerning single Hurwitz numbers. In this paper, we…
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