Equivalence between Gromov-Witten invariants: Domain dependent perturbation and Kuranishi structure approaches
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.
math.SG↗