Tropical Real Hurwitz numbers

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).

21 pages, 16 figures; updated to fit published version

Cited by in corpus (3)

• Lower bounds and asymptotics of real double Hurwitz numbers
• Signed counts of real simple rational functions
• On the lower bounds for real double Hurwitz numbers