Asypmtotics of enumerative invariants in $\CC P^2$

TL;DR

This paper derives the asymptotic expansions of enumerative invariants $n_{0,d}$ and $n_{1,d}$ in the complex projective plane, providing insights into their growth behavior for large degrees.

Contribution

It presents the first known asymptotic formulas for these enumerative invariants in $ ext{CP}^2$, advancing understanding of their large-degree behavior.

Findings

Asymptotic expansion formulas for $n_{0,d}$ and $n_{1,d}$.

Insights into the growth rates of enumerative invariants.

Potential applications to mirror symmetry and algebraic geometry.

Abstract

In this paper, we give the asymptotic expansion of $n_{0,d}$ and $n_{1,d}$.