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math.SG2000
The Symplectic Sum Formula for Gromov-Witten Invariants
Eleny-Nicoleta Ionel, Thomas H. Parker
In the symplectic category there is a `connect sum' operation that glues symplectic manifolds by identifying neighborhoods of embedded codimension two submanifolds. This paper esta…
math.SG1999
Relative Gromov-Witten Invariants
Eleny-Nicoleta Ionel, Thomas H. Parker
We define relative Gromov-Witten invariants of a symplectic manifold relative to a codimension two symplectic submanifold. These invariants are the key ingredients in the symplecti…
math.SG1998
Gromov-Witten Invariants of Symplectic Sums
Eleny-Nicoleta Ionel, Thomas H. Parker
The natural sum operation for symplectic manifolds is defined by gluing along codimension two submanifolds. Specifically, let X be a symplectic 2n-manifold with a symplectic (2n-2)…