The Symplectic Sum Formula for Gromov-Witten Invariants

Details The Symplectic Sum Formula for Gromov-Witten Invariants The Symplectic Sum Formula for Gromov-Witten Invariants

2000-10-23

arxiv.org/abs/math/0010217v2

Mathematics

Symplectic Geometry

AMS-Latex, 66 pages with 3 eps figures (typos fixed in the introduction)

Scientific paper

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.

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