Mathematical Research Letters

Volume 3 (1996)

Number 5

Associativity properties of the symplectic sum

Pages: 591 – 608

DOI: http://dx.doi.org/10.4310/MRL.1996.v3.n5.a3

Authors

Dusa McDuff (State University of New York at Stony Brook)

Margaret Symington (Stanford University)

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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