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arXiv · 2507.04798

Equivalence between Gromov-Witten invariants: Domain dependent perturbation and Kuranishi structure approaches

Yuguo Qin
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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.

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Yuguo Qin. 2025-07-07. Equivalence between Gromov-Witten invariants: Domain dependent perturbation and Kuranishi structure approaches. https://arxiv.org/abs/2507.04798

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