A Degeneration Formula of GW-Invariants

Jun Li

doi:10.4310/jdg/1090351102

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Home > Journals > J. Differential Geom. > Volume 60 > Issue 2 > Article

February, 2002 A Degeneration Formula of GW-Invariants

Jun Li

J. Differential Geom. 60(2): 199-293 (February, 2002). DOI: 10.4310/jdg/1090351102

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Abstract

This is the sequel to the paper [23]. In this paper, we construct the virtual moduli cycles of the degeneration of the moduli of stable morphisms constructed in [23]. We also construct the virtual moduli cycles of the moduli of relative stable morphisms of a pair of a smooth divisor in a smooth variety. Based on these, we prove a degeneration formula of the Gromov-Witten invariants.