Equivalence between Gromov-Witten invariants: Domain dependent perturbation and Kuranishi structure approaches
Symplectic Geometry
2025-07-08 v1
Abstract
We prove that the homology class induced by the rational pseudocycle constructed via domain-dependent perturbations by Cieliebak and Mohnke coincides with the homology class induced by the virtual fundamental class defined through Kuranishi structures by Fukaya, Oh, Ohta, and Ono.
Keywords
Cite
@article{arxiv.2507.04798,
title = {Equivalence between Gromov-Witten invariants: Domain dependent perturbation and Kuranishi structure approaches},
author = {Yuguo Qin},
journal= {arXiv preprint arXiv:2507.04798},
year = {2025}
}
Comments
34 pages, 1 figure