  We compute stationary gravitational descendants in symplectic ellipsoids of
any dimension, and use these to derive a number of new recursive formula for
punctured curve counts in symplectic manifolds with ellipsoidal ends. Along the
way we develop a framework in which punctured curve counts can be explicitly
computed using the standard complex structure on affine space. Finally, we
initiate the study of "infinitesimal symplectic cobordisms", which serve as
elementary building blocks for symplectic cobordisms between ellipsoids.
