Reduced Gromov-Witten invariants without ghost bubble censorship

TL;DR

This paper introduces a new method for defining all-genus reduced Gromov-Witten invariants of symplectic manifolds using multivalued perturbations, avoiding complex analytical challenges.

Contribution

It provides a novel approach to defining invariants that circumvents the need for ghost bubble censorship in the compactification process.

Findings

Successfully defines invariants without ghost bubble censorship

Uses multivalued perturbations on derived orbifold/Kuranishi charts

Bypasses complex analytical compactification issues

Abstract

We give a definition of all-genus reduced Gromov-Witten invariants of symplectic manifolds by using effectively supported multivalued perturbations on derived orbifold/Kuranishi charts, which bypasses the hard analytical result of sharp compactification/ghost bubble censorship of Zinger and Ekholm-Shende.