# Partly-local domain-dependent almost complex structures

**Authors:** Guangbo Xu, Chris T. Woodward

arXiv: 1903.05557 · 2019-03-14

## TL;DR

This paper addresses a gap in the proof of the independence of genus zero Gromov-Witten invariants from divisor choices within the Cieliebak-Mohnke perturbation scheme, ensuring the invariants' well-definedness.

## Contribution

It provides a correction to the proof of invariance of genus zero Gromov-Witten invariants by filling a previously identified gap.

## Key findings

- Confirmed the independence of genus zero Gromov-Witten invariants from divisor choices.
- Strengthened the theoretical foundation of Gromov-Witten invariants.
- Ensured the robustness of the Cieliebak-Mohnke perturbation scheme.

## Abstract

We fill a gap pointed out by N. Sheridan in the proof of independence of genus zero Gromov-Witten invariants from the choice of divisor in the Cieliebak-Mohnke perturbation scheme.

## Full text

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## References

4 references — full list in the complete paper: https://tomesphere.com/paper/1903.05557/full.md

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Source: https://tomesphere.com/paper/1903.05557