The Symplectic Sum Formula for Gromov-Witten Invariants
Symplectic Geometry
2007-05-23 v2 Algebraic Geometry
Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0010217,
title = {The Symplectic Sum Formula for Gromov-Witten Invariants},
author = {Eleny-Nicoleta Ionel and Thomas H. Parker},
journal= {arXiv preprint arXiv:math/0010217},
year = {2007}
}
Comments
AMS-Latex, 66 pages with 3 eps figures (typos fixed in the introduction)