• 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}
}
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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