Virtual neighborhood technique for moduli spaces of holomorphic curves |
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Authors: | Li An-Min Sheng Li |
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Institution: | 1.College of Mathematics, Sichuan University, Chengdu, 610064, China ; |
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Abstract: | We use the technique of Ruan (1999) and Li and Ruan (2001) to construct the virtual neighborhoods and show that the Gromov-Witten invariants can be defined as integrals over the top strata of the virtual neighborhoods. We prove that the invariants defined in this way satisfy all the axioms of Gromov-Witten invariants summarized by Kontsevich and Manin (1994). |
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