Enumeration of Genus-Two Curves with a Fixed Complex Structure in P^2   and P^3
  We express the genus-two fixed-complex-structure enumerative invariants of P^2 and P^3 in terms of the genus-zero enumerative invariants. The approach is to relate each genus-two fixed-complex-structure enumerative invariant to the corresponding symplectic invariant. 
A. Zinger