On orbifold Gromov-Witten theory in codimension one

TL;DR

This paper proposes a conjecture for calculating the Gromov-Witten theory of root stacks along smooth divisors and verifies it under certain conditions, advancing understanding in orbifold Gromov-Witten theory.

Contribution

It introduces a conjectural framework for orbifold Gromov-Witten theory in codimension one and confirms its validity in specific cases.

Findings

Conjectural formula for Gromov-Witten invariants of root stacks.

Verification of the conjecture under additional assumptions.

Progress in understanding orbifold Gromov-Witten theory in codimension one.

Abstract

We propose a conjectural determination of the Gromov-Witten theory of a root stack along a smooth divisor. We verify our conjecture under an additional assumption.