Let \(W(z_1, \ldots , z_n): ({\mathbb {C}}^*)^n \rightarrow {\mathbb {C}}\) be a Laurent polynomial in n variables, and let \({\mathcal {H}}\) be a generic smooth fiber of W. Ruddat et al. (Geom Topol 18:1343–1395, 2014) give a combinatorial recipe for a skeleton for \({\mathcal {H}}\). In this paper, we show that for a suitable exact symplectic structure on \({\mathcal {H}}\), the RSTZ-skeleton can be realized as the Liouville Lagrangian skeleton.

中文翻译：

---

$$（{\ mathbb {C}} ^ *）^ n $$（C ∗）n中的超曲面的拉格朗日刻线

令\（W（z_1，\ ldots，z_n）：（{\ mathbb {C}} ^ *）^ n \ rightarrow {\ mathbb {C}} \）是n个变量的Laurent多项式，令\（{ \ mathcal {H}} \）是W的通用光滑纤维。Ruddat等。（Geom Topol 18：1343-1395，2014）给出了\（{\ mathcal {H}} \）的骨架组合配方。在本文中，我们证明了对于\（{\ mathcal {H}} \）上合适的精确辛结构，可以将RSTZ骨架实现为Liouville Lagrangian骨架。