Rational Curves on Calabi-Yau Threefolds

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The point is to compare the mathematical meaning of the ``number of rational curves on a Calabi-Yau threefold'' to the meaning ascribed to the same notion by string theorists.
10 pages, AMSLaTeX v1.0 or 1.1. This is a survey talk given at the May 1991 Workshop on Mirror Symmetry at MSRI

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