Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians

Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians
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五次三重的镜像对称和有理曲线:数学家指南

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发表时间:
1992
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通讯作者:
D. Morrison
D. Morrison
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作者:
D. Morrison

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我们给出了一个最近的弦理论计算的数学帐户,它预测的一般五次三倍的有理曲线的数量。我们的解释涉及汤川耦合的霍奇结构的变化,一个新的q-展开原理的函数的模空间的卡-丘流形,和“镜像对称”现象最近观察到的弦理论家。Department OF Mathematics,杜克University,达勒姆,北卡罗来纳州27706电子邮件地址:drm@math.duke.edu此内容于2016年12月14日星期三04:59:36 UTC从http://about.jstor.org/terms157.55.39.224
We give a mathematical account of a recent string theory calcula- tion which predicts the number of rational curves on the generic quintic three- fold. Our account involves the interpretation of Yukawa couplings in terms of variations of Hodge structure, a new q-expansion principle for functions on the moduli space of Calabi-Yau manifolds, and the "mirror symmetry" phe- nomenon recently observed by string theorists. DEPARTMENT OF MATHEMATICS, DUKE UNIVERSITY, DURHAM, NORTH CAROLINA 27706 E-mail address: drm@math.duke.edu This content downloaded from 157.55.39.224 on Wed, 14 Dec 2016 04:59:36 UTC All use subject to http://about.jstor.org/terms