In this paper, we first prove a vanishing theorem of relative Gromov-Witten invariant of Pl-bundle. Based on this vanishing theorem and degeneration formula, we obtain a comparison theorem between absolute and relativ...In this paper, we first prove a vanishing theorem of relative Gromov-Witten invariant of Pl-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.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos.10825105 and 11228101)National Science Foundation of the USA
文摘In this paper, we first prove a vanishing theorem of relative Gromov-Witten invariant of Pl-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.