In this paper, we establish equivariant mirror symmetry for the weighted projective line. This extends the results by B. Fang, C.C. Liu and Z. Zong, where the projective line was considered [13]. More precisely, we prove the equivalence of the R-matrices for A-model and B-model for large radius limit, and establish isomorphism for $R$-matrices for general radius. We further demonstrate the graph sum of higher genus cases for both models to be the same, hence establish equivariant mirror symmetry for the weighted projective line. 查看全文>>