Abstract
In this paper, we first prove a vanishing theorem of relative Gromov-Witten invariant of ℙ1-bundle. Based on this vanishing theorem and degeneration formula, we obtain a comparison theorem between absolute and relative Gromov-Witten invariant under some positive condition of the symplectic divisor.
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Hu, J., Ruan, Y. Positive divisors in symplectic geometry. Sci. China Math. 56, 1129–1144 (2013). https://doi.org/10.1007/s11425-012-4557-x
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DOI: https://doi.org/10.1007/s11425-012-4557-x