Equivalence between Gromov-Witten invariants: Domain dependent perturbation and Kuranishi structure approaches
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912468740079616 |
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| author | Qin, Yuguo |
| author_facet | Qin, Yuguo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04798 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivalence between Gromov-Witten invariants: Domain dependent perturbation and Kuranishi structure approaches Qin, Yuguo Symplectic Geometry 57R17 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. |
| title | Equivalence between Gromov-Witten invariants: Domain dependent perturbation and Kuranishi structure approaches |
| topic | Symplectic Geometry 57R17 |
| url | https://arxiv.org/abs/2507.04798 |