This research introduces bounded sp4-laminations as a model for rational tropical points in the Fock–Goncharov moduli space, highlighting key intersection coordinates.
We introduce rational bounded sp₄-laminations on a marked surface Σ as a proposed topological model for the rational tropical points ASp₄,Σ(QT) of the Fock--Goncharov moduli space [FG06]. Our space consists of certain equivalence classes of sp₄-webs introduced by Kuperberg [Kup96], together with rational measures. We define tropical coordinate systems using the sp₄-case of the intersection number of Shen--Sun--Weng [SSW25], and establish a bijection using the framework of the graded sp₄-skein algebra. This provides a topological perspective for Fock--Goncharov duality for sp₄.
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Ishibashi et al. (2025) studied this question.
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