摘要 : We compute the relative orbifold Gromov-Witten invariants of [C-2/Z(n+1)] x P-1 with respect to vertical fibers. Via a vanishing property of the Hurwitz-Hodge bundle, 2-point rubber invariants are calculated explicitly using Pixto... 展开 We compute the relative orbifold Gromov-Witten invariants of [C-2/Z(n+1)] x P-1 with respect to vertical fibers. Via a vanishing property of the Hurwitz-Hodge bundle, 2-point rubber invariants are calculated explicitly using Pixton's formula for the double ramification cycle, and the orbifold quantum Riemann-Roch. As a result parallel to its crepant resolution counterpart for A(n), the GW/DT/Hilb/Sym correspondence is established for [C-2/Z(n+1)]. The computation also implies the crepant resolution conjecture for the relative orbifold Gromov-Witten theory of [C-2/Z(n+1)] x P-1. 收起