QUANTUM COHOMOLOGY OF BLOWUPS OF SURFACES AND ITS FUNCTORIALITY PROPERTY  

作　　者：胡建勋 

机构地区：[1]Department of Mathematics Zhongshan University,Guangzhou 510275,China

出　　处：《Acta Mathematica Scientia》2006年第4期735-743,共9页数学物理学报（B辑英文版）

基　　金：Supported in part by NSF of China (1017114, 10231050 and NCET)

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 Cromov- 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.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 Cromov- 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 

分 类 号：O241[理学—计算数学]