We prove the following estimate on Lagrangian intersections: If L is a Lagrangian submanifold of P with π 2 ( P, L ) = 0 and L ' is obtained from L by an exact diffeomorphism of P , then the number of elements of L ∩ L ' is greater than or equal to the cuplength of P .
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Andreas Floer (1989) studied this question.
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