Tropical moduli spaces of stable maps to a curve

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Abstract

We construct moduli spaces of rational covers of an arbitrary smooth tropical curve in ℝr as tropical varieties. They are contained in the balanced fan parametrizing tropical stable maps of the appropriate degree to ℝr. The weights of the top-dimensional polyhedra are given in terms of certain lattice indices and local Hurwitz numbers.

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Gathmann, A., Markwig, H., & Ochse, D. (2018). Tropical moduli spaces of stable maps to a curve. In Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory (pp. 287–309). Springer International Publishing. https://doi.org/10.1007/978-3-319-70566-8_12

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