Refined elliptic tropical enumerative invariants
This article is about refined tropical enumerative invariants. These are invariants introduced by \textit{F. Block} and \textit{L. Göttsche} [Compos. Math. 152, No. 1, 115--151 (2016; Zbl 1348.14125)] which depend on some formal parameter. A particular result of the article is a description of elliptic tropical broccoli curves, elliptic broccoli invariants and their refinement. This builds on the previous work of \textit{A. Gathmann} et al. [Adv. Math. 240, 520--574 (2013; Zbl 1285.14070)] where broccoli invariants were introduced, which are closely related to Welschinger invariants and play crucial role in real enumerative geometry. In the article, refined broccoli invariants are obtained in terms of Laurent polynomials and explicit computations for these invariants in terms of lattice path algorithms are carried out.
scientific article; zbMATH DE number 6898295
scientific article