Pseudocycle Gromov-Witten invariants are a strict subset of polyfold Gromov-Witten invariants

TL;DR

This paper proves that for semipositive symplectic manifolds, pseudocycle and polyfold genus-zero Gromov-Witten invariants are equivalent, clarifying the relationship between these two approaches in symplectic geometry.

Contribution

It establishes the equality of pseudocycle and polyfold Gromov-Witten invariants for semipositive symplectic manifolds, highlighting their equivalence in genus-zero cases.

Findings

Pseudocycle and polyfold invariants coincide in genus-zero.

The result applies specifically to semipositive symplectic manifolds.

It clarifies the relationship between different Gromov-Witten invariant constructions.

Abstract

Given a semipositive symplectic manifold, we prove that the pseudocycle genus-zero Gromov-Witten invariants are equal to the polyfold genus-zero Gromov-Witten invariants.