85 citations · 255 across the 22 of their papers we have counts for
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math.AG2014★ 5 cited
Tropical Real Hurwitz numbers
Hannah Markwig, Johannes Rau
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. W…
math.AG2014★ 7 cited
The combinatorics of real double Hurwitz numbers with real positive branch points
Mathieu Guay-Paquet, Hannah Markwig, Johannes Rau
We investigate the combinatorics of real double Hurwitz numbers with real positive branch points using the symmetric group. Our main focus is twofold. First, we prove correspondenc…
math.AG2014★ 15 cited
On rational equivalence in tropical geometry
Lars Allermann, Simon Hampe, Johannes Rau
This article discusses the concept of rational equivalence in tropical geometry (and replaces the older and imperfect version arXiv:0811.2860). We give the basic definitions in the…