Associativity properties of the symplectic sum

Details Associativity properties of the symplectic sum Associativity properties of the symplectic sum

1996-02-01

arxiv.org/abs/dg-ga/9602002v1

Mathematics

Differential Geometry

17 pages, LaTex document, 2 figures in encapsulated postscript

Scientific paper

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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