QUANTUM COHOMOLOGIES OF SYMMETRIC PRODUCTS

被引：3
|
作者：
Cho, Yong Seung [1 ]
机构：
[1] Ewha Womans Univ, Div Math & Phys Sci, Coll Nat Sci, Seoul 120750, South Korea
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2012年 / 9卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Symmetric product; Gromov-Witten invariant; quantum cohomology; complex projective space;
D O I：
10.1142/S0219887812500053
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we investigate the quantum cohomologies of symmetric products of Kahler manifolds. To do this we study the moduli space of product space and symmetric group action on it, Gromov-Witten invariant and relative Gromov-Witten invariant. Also we investigate the relations between symmetric invariant properties on the products space and the corresponding ones on the symmetric product. As an example we examine the symmetric product of k copies complex projective line P-1, which is the k-dimensional complex projective space P-k.
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收藏
页数：14
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