Tropical Moduli Spaces of Stable Maps to a Curve

Andreas Gathmann (), Hannah Markwig () and Dennis Ochse ()
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Andreas Gathmann: Technische Universität Kaiserslautern, Fachbereich Mathematik
Hannah Markwig: Eberhard Karls Universität Tübingen, Fachbereich Mathematik
Dennis Ochse: Technische Universität Kaiserslautern, Fachbereich Mathematik

A chapter in Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, 2017, pp 287-309 from Springer

Abstract: Abstract We construct moduli spaces of rational covers of an arbitrary smooth tropical curve in ℝ r $${\mathbb R}^r$$ as tropical varieties. They are contained in the balanced fan parametrizing tropical stable maps of the appropriate degree to ℝ r $${\mathbb R}^r$$ . The weights of the top-dimensional polyhedra are given in terms of certain lattice indices and local Hurwitz numbers.

Keywords: Tropical geometry; Enumerative geometry; Gromov-Witten theory; 14T05; 14N35; 51M20 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-70566-8_12

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DOI: 10.1007/978-3-319-70566-8_12

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