数学物理学报(英文版)

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QUANTUM COHOMOLOGY OF BLOWUPS OF SURFACES AND ITS FUNCTORIALITY PROPERTY

胡建勋   

  1. 中山大学数学系, 广州 510275
  • 收稿日期:2004-12-16 修回日期:1900-01-01 出版日期:2006-10-20 发布日期:2006-10-20
  • 通讯作者: 胡建勋
  • 基金资助:

    Supported in part by NSF of China (1017114, 10231050 and NCET

QUANTUM COHOMOLOGY OF BLOWUPS OF SURFACES AND ITS FUNCTORIALITY PROPERTY

Hu Jianxun   

  1. Department of Mathematics, Zhongshan University, Guangzhou 510275, China
  • Received:2004-12-16 Revised:1900-01-01 Online:2006-10-20 Published:2006-10-20
  • Contact: Hu Jianxun

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摘要：

In this article, using the WDVV equation, the author first proves that all
Gromov-Witten invariants of blowups of surfaces can be computed from the Gromov--Witten invariants of itself by some recursive relations. Furthermore, it may determine the quantum product on blowups. It also proves that there is some degree of functoriality of the big quantum cohomology for a blowup.

关键词: Quantum cohomology, WDVV equation, Gromov-Witten invariant

Abstract:

In this article, using the WDVV equation, the author first proves that all
Gromov-Witten invariants of blowups of surfaces can be computed from the Gromov--Witten invariants of itself by some recursive relations. Furthermore, it may determine the quantum product on blowups. It also proves that there is some degree of functoriality of the big quantum cohomology for a blowup.

Key words: Quantum cohomology, WDVV equation, Gromov-Witten invariant

中图分类号: 

  • 53D45
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