Abstract

AbstractThroughout its long history, algebraic geometry has been enriched by the influences of invariant theory, abstract algebra, number theory, topology, complex analysis, symplectic geometry, category theory and so on. One of the most recent influences came from string theory circa 1990 when a group of string theorists applied the mirror symmetry in string theory to enumerative geometry problems in algebraic geometry. During the past three decades, we have witnessed one of the most fruitful interactions between mathematicians and physicists in enumerative geometry. In this informal expository article, I would like to offer a glimpse into this story about enumerative geometry and string theory.KeywordEnumerative geometry

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