Some conjectures on the asymptotic behavior of Gromov-Witten invariants

TL;DR

This paper discusses conjectures and observations about the asymptotic behavior of Gromov-Witten invariants, suggesting potential deep symplectic phenomena and proposing combinatorial approaches for specific cases.

Contribution

It introduces new conjectures and observations on the asymptotics of Gromov-Witten invariants, highlighting possible deep symplectic phenomena and combinatorial methods for analysis.

Findings

Proposes conjectures on asymptotic behavior

Identifies potential deep phenomena in symplectic topology

Suggests combinatorial techniques for specific cases

Abstract

The purpose of this note is to share some observations and speculations concerning the asymptotic behavior of Gromov-Witten invariants. They may be indicative of some deep phenomena in symplectic topology that in full generality are outside of the reach of current techniques. On the other hand, many interesting cases can perhaps be treated via combinatorial techniques.