QUANTUM COHOMOLOGIES OF SYMMETRIC PRODUCTS

Author:

CHO YONG SEUNG1

Affiliation:

1. Division of Mathematical and Physical Sciences, College of Natural Sciences, Ewha Womans University, Seoul 120-750, Republic of Korea

Abstract

In this paper we investigate the quantum cohomologies of symmetric products of Kähler 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 ℙ1, which is the k-dimensional complex projective space ℙk.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quantum Cohomologies on Products of Cosymplectic Manifolds and Circles;Bulletin of the Malaysian Mathematical Sciences Society;2016-05-23

2. Stabilization of 4-manifolds;Science China Mathematics;2014-02-13

3. QUANTUM TYPE COHOMOLOGIES ON CONTACT MANIFOLDS;International Journal of Geometric Methods in Modern Physics;2013-04-03

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