A new gluing recursive relation for linear Sigma model of P1-orbifold

作者：Li, Xiao Bin; Chen, Bo Hui^*; Du, Cheng Yong

来源：Acta Mathematica Sinica-English Series, 2013, 29(9): 1757-1772.

DOI：10.1007/s10114-013-2111-6

• Orbifold Gromov Witten invariant
• nonlinear (linear) Sigma model
• orbi-gluing recursive relation

The study of the moduli space plays an important role in classical enumerative geometry and its interaction with string theory in physics. Given X = [a"(TM)(1)/a"currency sign (r) ] and let x' = ([0] (a) , [a] (b) ) the 2-tuple of twisted sectors on X, we construct in this paper two different compactifications of the moduli space M (0,2)(X, d[a"(TM)(1)/a"currency sign (r) ], x'): Nonlinear Sigma Model M (d) (x') and Linear Sigma Model N (d) (x') . Relations between M (d) (x') and N (d) (x') are studied and a new gluing recursive relation on N (d) (x') is derived from M (d) (x') due to virtual localization formula.

• 出版日期2013-9
• 单位西南交通大学; 四川大学