Direct proof of the mirror theorem for projective hypersurfaces up to degree 3 rational curves

被引：3
|
作者：
Jinzenji, Masao [1 ]
机构：
[1] Hokkaido Univ, Grad Sch Sci, Div Math, Kita Ku, Sapporo, Hokkaido 0600810, Japan
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2011年 / 61卷 / 08期
关键词：
Mirror theorem; Localization formula; Residue integral; VIRTUAL STRUCTURE CONSTANTS; QUANTUM COHOMOLOGY RINGS; GAUSS-MANIN SYSTEM; TRANSFORMATION;
D O I：
10.1016/j.geomphys.2011.03.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we directly derive a generalized mirror transformation of projective hypersurfaces of up to degree 3, genus 0 Gromov-Witten invariants by comparing the Kontsevich's localization formula with residue integral representation of the virtual structure constants. We can easily generalize our method for the rational curves of arbitrary degree, except under combinatorial complexities. (C) 2011 Elsevier B.V. All rights reserved.
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页码：1564 / 1573
页数：10
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