A product formula for log Gromov-Witten invariants

TL;DR

This paper proves a product formula connecting the log Gromov-Witten invariants of a product space with those of its factors, specifically when one factor has a trivial log structure.

Contribution

It introduces a new product formula for log Gromov-Witten invariants in the case of trivial log structures, expanding the theoretical understanding of these invariants.

Findings

Establishes a product relation for log Gromov-Witten invariants of product spaces.

Provides a proof for the case when the log structure on one factor is trivial.

Enhances the theoretical framework of log Gromov-Witten theory.

Abstract

The purpose of this short article is to prove a product formula relating the log Gromov-Witten invariants of $V \times W$ with those of $V$ and $W$ in the case the log structure on $V$ is trivial.