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Associativity properties of the symplectic sum

Dusa McDuff·Margaret Symington
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Abstract

In this note we apply a 4-fold sum operation to develop an associativity rule for the pairwise symplectic sum. This allows us to show that certain diffeomorphic symplectic $4$-manifolds made out of elliptic surfaces are in fact symplectically deformation equivalent. We also show that blow-up points can be traded from one side of a symplectic sum to another without changing the symplectic deformation class of the resulting manifold.

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Dusa McDuff, Margaret Symington. 1996-02-01. Associativity properties of the symplectic sum. https://arxiv.org/abs/dg-ga/9602002

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