Positive divisors in symplectic geometry |
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| Authors: | JianXun Hu YongBin Ruan |
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| Affiliation: | 1. Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China
2. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1109, USA
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| Abstract: | In this paper, we first prove a vanishing theorem of relative Gromov-Witten invariant of ?1-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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