  A. Zinger defined reduced Gromov-Witten (GW) invariants and proved a
comparison theorem of standard and reduced genus one GW invariants for every
symplectic manifold (with all dimension). H. -L. Chang and J. Li provided a
proof of the comparison theorem for quintic Calabi-Yau 3-folds in algebraic
geometry by taking a definition of reduced invariants as an Euler number of
certain vector bundle. T. Coates and C. Manolache have defined reduced GW
invariants in algebraic geometry following the idea by Vakil and Zinger and
proved the comparison theorem for every Calabi-Yau threefold. In this paper, we
prove the comparison theorem for every (not necessarily Calabi-Yau) complete
intersection of dimension 2 or 3 in projective spaces by taking a definition of
reduced GW invariants in the paper of Coates and Manolache.
