期刊
DISCRETE & COMPUTATIONAL GEOMETRY
卷 62, 期 1, 页码 180-208出版社
SPRINGER
DOI: 10.1007/s00454-019-00093-y
关键词
Tropical curves; Tropical enumerative geometry; Gromov-Witten invariants; Tropical descendant invariants; Moduli spaces of tropical curves
资金
- German-Israeli Foundation [1174-197.6/2011]
- Israel Science Foundation [176/15, 501/18]
- Bauer-Neuman Chair in Real and Complex Geometry
We construct refined tropical enumerative genus zero invariants of toric surfaces that specialize to the tropical descendant genus zero invariants introduced by Markwig and Rau when the quantum parameter tends to 1. In the case of trivalent tropical curves our invariants turn to be the Gottsche-Schroeter refined broccoli invariants. We show that this is the only possible refinement of the Markwig-Rau descendant invariants that generalizes the Gottsche-Schroeter refined broccoli invariants. We discuss also the computational aspect (a lattice path algorithm) and exhibit some examples.
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