%0 Journal Article %T The Symplectic Sum Formula for Gromov-Witten Invariants %A Eleny-Nicoleta Ionel %A Thomas H. Parker %J Mathematics %D 2000 %I arXiv %X In the symplectic category there is a `connect sum' operation that glues symplectic manifolds by identifying neighborhoods of embedded codimension two submanifolds. This paper establishes a formula for the Gromov-Witten invariants of a symplectic sum Z=X#Y in terms of the relative GW invariants of X and Y. Several applications to enumerative geometry are given. %U http://arxiv.org/abs/math/0010217v2