Virtual Neighborhood Technique for Holomorphic Curve Moduli Spaces
classification
🧮 math.SG
keywords
virtualdefinedgromov-witteninvariantsneighborhoodapproachaxiomsconstruct
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In this paper we use the approach of Ruan and Li-Ruan to construct virtual neighborhoods and show that the Gromov-Witten invariants can be defined as an integral over top strata of virtual neighborhood. We prove that the invariants defined in this way satisfy all the Gromov-Witten axioms of Kontsevich and Manin.
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