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4 papers
Symplectic Gluing and Family Gromov-Witten Invariants
Junho Lee, Thomas H. Parker
This article describes the use of symplectic cut-and-paste methods to compute Gromov-Witten invariants. Our focus is on recent advances extending these methods to Kahler surfaces w…
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…
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…
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)…