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arXiv · 1412.4235

Tropical Real Hurwitz numbers

Hannah Markwig·Johannes Rau
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Abstract

In this paper, we define tropical analogues of real Hurwitz numbers, i.e. numbers of covers of surfaces with compatible involutions satisfying prescribed ramification properties. We prove a correspondence theorem stating the equality of the tropical numbers with their real counterparts. We apply this theorem to the case of double Hurwitz numbers (which generalizes our result from arXiv:1409.8095).

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Hannah Markwig, Johannes Rau. 2015-08-25. Tropical Real Hurwitz numbers. https://doi.org/10.1007/s00209-015-1498-4

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