Hokkaido University Preprint Series in Mathematics
We derive the partition function of N = 4 supersymmetric Yang-Mills theory on orbifold-T4 /Z2 . In classical geometry, K3 surface is constructed from the orbifold-T4 /Z2 . Along the same way as the orbifold construction, we construct the partition function of K3 surface from orbifold-T4 /Z2 . The partition function is given by the product of the contribution of the untwisted sector of T4 /Z2 , and that of the twisted sector of T4 /Z2 i.e., 0(-2) curve blow-up formula.