  We use the Gromov-Witten/Pairs descendent correspondence for toric 3-folds
and degeneration arguments to establish the GW/P correspondence for several
compact Calabi-Yau 3-folds (including all CY complete intersections in products
of projective spaces). A crucial aspect of the proof is the study of the GW/P
correspondence for descendents in relative geometries. Projective bundles over
surfaces relative to a section play a special role.
  The GW/P correspondence for Calabi-Yau complete intersections provides a
structure result for the Gromov-Witten invariants in a fixed curve class. After
change of variables, the Gromov-Witten series is a rational function in the
variable -q=exp(iu) invariant under q => 1/q.
