2 5 A ug 1 99 9 Another way to enumerate rational curves with torus actions
نویسنده
چکیده
and Parkes used the " string-theoretic " principle of mirror symmetry to predict the numbers of rational curves of any degree on a quintic threefold [7]. This prediction took mathematicians by surprise, as the best results at the time only counted rational curves of degree three or less. Since then, exciting new developments have led to mathematical proofs of these predictions and many other related conjectures coming from string theory. While this does not address the deeper problem of constructing a mathematical foundation for string theory, it does represent a major advance in field of enumerative algebraic geometry.
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