A New Gluing Recursive Relation for Linear Sigma Model of P^1-orbifold
A New Gluing Recursive Relation for Linear Sigma Model of P^1-orbifold作者机构：Department of Mathematics Sichuan University Chengdu 610064 P. R. China Department of Mathematics Southwestern Jiaotong University Department of Mathematics and Yangtze Mathematical Center Sichuan University Department of Mathematics Sichuan University
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)
年 卷 期：2013年第29卷第9期
页 面：1757-1772页
核心收录：
基 金：supported by Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20100181110071) National Natural Science Foundation of China (Grant No. 11071176),supported by National Natural Science Foundation of China (Grant Nos. 11071173 and 11221101) Hundred Talents Program for Young Teachers (Grant No. SWJTU12BR028)
主 题：Orbifold Gromov–Witten invariant nonlinear （linear） Sigma model orbi-gluing recursive relation
摘 要：The study of the moduli space plays an important role in classical enumerative geometry and its interaction with string theory in physics. Given X=[P1/Zr] and let x＇ = （[0]a , [∞]b） the 2-tuple of twisted sectors on X , we construct in this paper two different compactifications of the moduli space M0,2（X, d[P1/Zr], x＇）： Nonlinear Sigma Model Mx＇d and Linear Sigma Model Nx＇d . Relations between Mx＇d and Nx＇d are studied and a new gluing recursive relation on Nx＇d is derived from Mx＇d due to virtual localization formula.
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