Gromov-Witten Invariants of Symplectic Sums

  title={Gromov-Witten Invariants of Symplectic Sums},
  author={Eleny-Nicoleta Ionel and T. M.I. and Cambridge and 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)-submanifold V. Given a similar pair (Y, V) with a symplectic identification V = V and a complex anti-linear isomorphism between the normal bundles of V and V , we can form the symplectic sum Z = X# V =V Y. This note announces a general formula for computing the Gromov-Witten invariants of the sum Z in terms of… CONTINUE READING
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