On leading Gopakumar--Vafa invariants of local ${\mathbb{P}}^2$ and leading Betti numbers of moduli spaces of one-dimensional sheaves on ${\mathbb{P}}^2$

Zhiyuan Wang, Chenglang Yang

In this paper we use the topological vertex formalism to derive a structural formula for the leading terms of the generating series of Gromov--Witten invariants of local $\mathbb P…