Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians
作者： David R. Morrison
DOI: 10.1090/S0894-0347-1993-1179538-2
关键词: String theory 、 Mirror symmetry 、 Moduli space 、 Mathematics 、 Theoretical physics 、 Homological mirror symmetry 、 Quintic function 、 Hodge bundle 、 Hodge structure 、 Yukawa potential 、 Algebra
摘要: We give a mathematical account of recent string theory calcula- tion which predicts the number rational curves on generic quintic three- fold. Our involves interpretation Yukawa couplings in terms variations Hodge structure, new q-expansion principle for functions moduli space Calabi-Yau manifolds, and "mirror symmetry" phe- nomenon recently observed by 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 Wed, 14 Dec 2016 04:59:36 UTC All use subject to http://about.jstor.org/terms
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