In this paper, we establish equivariant mirror symmetry for footballs \(\mathcal {F}(m,r)\) . This extends the results by Fang et al. [13], where the projective line was considered and the results by Tang of weighted projective lines, on arXiv:1712.04836. More precisely, we prove the equivalence of the R-matrices for A-model and B-model at large radius limit and establish isomorphism for R-matrices for general radius. We further demonstrate that the graph sum of higher genus cases is the same for both models, hence establishing equivariant mirror symmetry for footballs. In the last two sections the large radius limit and equivariant limit are considered, resulting in a generalized Bouchard–Mariño conjecture and Norbury–Scott conjecture, respectively.
