A new gluing recursive relation for linear Sigma model of .1-orbifold

The study of the moduli space plays an important role in classical enumerative geometry and its interaction with string theory in physics. Given X = [.1/. r ] 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 M 0,2(X, d[.1/. r ], x.): Nonlinear Sigma Model M x.d and Linear Sigma Model N x.d. Relations between M x.d and N x.d are studied and a new gluing recursive relation on N x.d is derived from M x.d due to virtual localization formula.