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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
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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. 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.
作者 Xiao Bin LI Bo Hui CHEN Cheng Yong DU
机构地区 Department of Mathematics Department of Mathematics Department of Mathematics and Yangtze Mathematical Center Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第9期1757-1772,共16页 数学学报（英文版）
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)
关键词 Orbifold Gromov–Witten invariant nonlinear （linear） Sigma model orbi-gluing recursive relation Orbifold Gromov–Witten invariant nonlinear （linear） Sigma model orbi-gluing recursive relation
分类号 O18 [理学—基础数学]
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参考文献23

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Acta Mathematica Sinica,English Series
2013年 第9期

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