  In [16] the fundamental relationship between stable quotient invariants and
the B-model for local P2 in all genera was studied under some specialization of
equivariant variables. We generalize the argument of [16] to full equivariant
settings without the specialization. Our main results are the proof of
holomorphic anomaly equations for the equivariant Gromov-Witten theories of
local P2 and local P3. We also state the generalization to full equivariant
formal quintic theory of the result in [17].
