Splitting of Gromov-Witten Invariants with Toric Gluing Strata

TL;DR

This paper establishes a splitting formula for logarithmic Gromov-Witten invariants of simple normal crossing varieties, enabling their reconstruction from invariants of components using toric gluing strata.

Contribution

It introduces a new splitting formula for Gromov-Witten invariants in the context of toric gluing strata, extending punctured Gromov-Witten theory.

Findings

Proves a splitting formula for Gromov-Witten invariants

Reconstructs invariants from irreducible components

Applies to varieties with toric gluing strata

Abstract

We prove a splitting formula that reconstructs the logarithmic Gromov- Witten invariants of simple normal crossing varieties from the punctured Gromov- Witten invariants of their irreducible components, under the assumption of the gluing strata being toric varieties. The formula is based on the punctured Gromov-Witten theory developed in arXiv:2009.07720.