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We study the intersection theory of punctured pseudoholomorphic curves in 4dimensional symplectic cobordisms. Using the asymptotic results of the author We then use this to develop topological controls on the intersection number of two curves. We also prove an adjunction formula which gives a topological condition that will guarantee a curve in a given homotopy class is embedded, extending previous work of Hutchings
Richard Siefring (Sun,) studied this question.